Greatest Common Factor Word Problems

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Greatest Common Factor Word Problems

  • A choir director at your school wants (#406)
    A choir director at your school wants to divide the choir into smaller groups. There are 24 sopranos, 60 altos, and 36 tenors. Each group will have the same number of each type of voice.

    A. What is the greatest number of groups that can be formed?
    B. How many sopranos altos and tenorn will be in each group?
    ...
    gcf, greatest common factor
  • Each student in Beginning Orchestra (#314)
    Each student in Beginning Orchestra tried each type of instrument. The try-out period was the same length for each student, but different for each type of instrument.  By the time everyone had tried each type, a total of 217 minutes had been logged for percussion instruments, 93 minutes for strings, and 155 minutes for horns.  How many students are in the ...
    greatest common factor
  • Eggs come in packages of 12 (#198)
    Eggs come in packages of 12 and English muffins come in packages of 10...
    greatest common factor
  • Find two consecutive negative integers (#3018)
    Find two consecutive negative integers that have a product of 90.
    greatest common factor
  • GCF (#4934)
    there was 33 cookies. the employes want to sell them to the eqyual amount of people. sandy had 10 cookies and bob hadt 23 more cookies. how many people can they give cookies to, to make a equal amount
    gcf, greatest common factor
  • GCF (#4964)
    find the gcf of 56 and 12
    gcf, greatest common factor
  • GCF (#5654)
    I have 300 strawberries and 60 bananas to make shakes. I want to use all of the ...
    gcf, greatest common factor
  • GCF (#5685)
    find the gcf of 78 and42
    gcf, greatest common factor
  • GCF (#6274)
    there are 40 freshman, and 24 ...
    gcf, greatest common factor
  • GCF (#8608)
    Brandon and carlos are members of the high school track team. They run different events; both events are multiple laps. At a recent track meets, carlos' 3rd place time for his event was 8 minutes and 32 seconds. Coincidentally, carlos' lap time was exactly twice as long as Brandon's. Find their lap times - they both greater than 30 seconds. (Hint: convert time to second first)
    gcf, greatest common factor
  • GCF (#8609)
    Brandon and carlos are members of the high school track team. They run different events; both events are multiple laps. At a recent track meets, carlos\' 3rd place time for his event was 8 minutes and 32 seconds. Coincidentally, carlos\' lap time was exactly twice as long as Brandon\'s. Find their lap times - they both greater than 30 seconds. (Hint: convert time to second first)
    gcf, greatest common factor
  • GCF (#9196)
    The Coverall Paint Company wants to sell paint in can sizes that most people would use up completely. The company has found out that most people paint wall surfaces of 300m2, 450m2, or 600m2...
    gcf, greatest common factor
  • GCF (#9563)
    7TH & 8TH GRADE CLASS IS PLANNING A DINNER. THERE ARE 168 STUDENTS IN THE 7TH GRADE & 112 STUDENTS IN THE 8TH GRADE. EACH GRADE SITS IN A DIFFERENT ROOM. HOW MANY CHAIRS ARE NEEDED IN EACH ROOM IF THE TOTAL NUMBER OF TABLES PER ROOM CANNOT EXCEED 15 AND THE TOTAL NUMBER OF CHAIRS PER TABLE CANNOT EXCEED 15. EACH TABLE IN EACH ROOM SHOLD HAVE THE SAME NUMBER OF CHAIRS
    gcf, greatest common factor
  • GCF (#9832)
    sides of square are lengthened by 8cm, the area becomes 256cm^2. Find the length of a side of the original square
    gcf, greatest common factor
  • GCF (#10803)
    16 boys and 12 girls. Greatest number of teams possible with the same number of boys and girls on each team. How many teams were made up if each person was on a team?  How many girls on each ...
    gcf, greatest common factor
  • Greatest Common Factor (#709)
    the GCF is 2.  The LCM of two numbers is 24.  The numbers differ by 2...
    greatest common factor
  • Greatest Common Factor (#3968)
    You made 63 wheat dinner rolls, 45 rye dinner rolls, and 54 sourdough dinner rolls for a family picnic. You want to make up plates of rolls to set on the picnic tables. If each plate is to contain the same amount of each type of roll, and there are no leftover rolls,what is the greatest  number of plates that can be made?
    how many wheat dinner rolls, rye dinner ...
    greatest common factor
  • Greatest Common Factor (#5429)
    Volunteer at a bake sale want to sell slice of banana nut bread and raisin bread packaged together.  They have 63 slices of banana nut bread and 45 slices of raisin bread, and they plan to use all the bread.  What is the greatest number of packages they can put ...
    greatest common factor
  • Greatest Common Factor (#5229)
    A college class with 30 sophmores,18 juniors and 12 seniors is divided into project groups where each group has the same number of sophomores,juniors,and seniors. What is the greatest number of groups that can be formed?how many sophomores,...
    greatest common factor
  • Greatest Common Factor (#5234)
    Olivia's 6 cousins are coming for a visit. She bakes 2 1/2 dozen sugar cookies and 4 dozen oatmeal raisin cookies. If she wants each cousin to recieve an equal number of each kind of cookie, how many oatmeal raisin cookies will they ...
    greatest common factor
  • Greatest Common Factor (#6299)
    Two even numbers have a greatest common factor of 150...
    greatest common factor
  • Greatest Common Factor (#6351)
    Ming has 15 quarters , 30 dimes, and 48 nickels. he wants to group his money so that each group has the same number of each coin. how many of each coin will be in each ...
    greatest common factor
  • Greatest Common Factor (#6920)
    tia made 50 cupcakes and 160 cookies for a bake sale. she put the items in packages with an equal number of cupcakes and cookies. How many packages did she ...
    greatest common factor
  • Greatest Common Factor (#7040)
    Suppose that in some distant part of the universe that a star with four orbiting planets.One planet makes a trip around the star in 6 years,  the second planet 9 years, the third takes 15 years, and the fourth takes 28 ...
    greatest common factor
  • Greatest Common Factor (#7249)
    sarim has $1 in coins.  one-fifth of the coins are dimes, two-fifteenths are nickels, and two-thirds are ...
    greatest common factor
  • Greatest Common Factor (#7405)
    Dave has tennis practice every 6 days and guitar lessons every 8 days.  If he had both tennis practice and guitar lessons today, how many times in the next 60 days will he have both tennis practice and guitar lessons on the same day? ( not counting today)
    greatest common factor
  • Greatest Common Factor (#8153)
    The width of a rectangle is 6 inches less than twice its ...
    greatest common factor
  • Greatest Common Factor (#8380)
    the gcf of two numbers is 4 one of the numbers is 36 find the other number that is between.
    greatest common factor
  • Greatest Common Factor (#8796)
    volunteers at a bake sale want to sell slices of banana nut bread and raisin bread packaged together. They have 63 slices of banana nut bread and 45 slices of raisin bread, and plan to use all the bread. What is the greatest number of packages they can put ...
    greatest common factor
  • Greatest Common Factor (#8953)
    The greatest common factor of a number and 48 is 24. The sum of the numbers digits is 15. find the number
    greatest common factor
  • Greatest Common Factor (#9055)
    There are 15 boys and 12 girls in a classroom. For a class trip, they need to be split up into the largest possible even ...
    greatest common factor
  • Greatest Common Factor (#9279)
    A college class with 30 sophomores, 18 juniors, and 12 seniors is divided into project groups where each group has the same number of sophomores, juniors, and seniors. What is the greatest number of groups that can be formed? How many sophomores, ...
    greatest common factor
  • Greatest Common Factor (#9986)
    Ellen pours one-half of tea from a pot. Juanita pours one-third of the remaining tea and leaves four-cups of tea in the ...
    greatest common factor
  • Greatest Common Factor (#10035)
    The length of a rectangle is 7 ft greater than the width. The area is 60ft^2...
    greatest common factor
  • Greatest Common Factor (#10255)
    Twelve more than the square of a number is seven times the ...
    greatest common factor
  • Greatest Common Factor (#10837)
    There are 40 girls and 32 boys who want to participate in the relay race.  If each team must have the same number
    of girls and boys, what is the greatest number of teams that can ...
    greatest common factor
  • If Mary inspect every sixteenth calculator (#2121)
    If Mary inspect every sixteenth calculator and Nancy inspects every thirty-sixth ...
    gcf, greatest common factor
  • Ming has 15 quarters, 30 dimes and 48 nickels (#308)
    Ming has 15 quarters, 30 dimes and 48 nickels.  He wants to group his money so that each group has the same number of each coin.  What is the greates number of groups he can make?  How many of each coin will be in each ...
    greatest common factor
  • Paul has three pieces of rope (#2951)
    Paul has three pieces of rope with lengths of 140 cm, 168 cm & 210 cm. He wishes to cut the three pieces of rope in to smaller pieces of equal length with no remainders. What is the greatest possible length of each of the smaller pieces of ...
    gcf, greatest common factor
  • Rebecca has 20 table tennis balls (#149)
    Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled ...
    gcf, greatest common factor
  • The GCF of two numbers is 871 (#302)
    The greatest common factor of two numbers is 871.  Both numbers are even and neither is divisible by the ...
    greatest common factor
  • The greatest common factor (GCF) of two numbers (#421)
    The greatest common factor (GCF) of two numbers is 850. Neither number is divisible by the ...
    greatest common factor
  • The greatest common factor of two numbers (#3975)
    The greatest common factor of two numbers is 30.  Their least common multiple is 420.  One of the numbers is 210...
    greatest common factor, least common multiple
  • The sum of the squares of two consecutive (#1895)
    The sum of the squares of two consecutive negative even integers is 100...
    greatest common factor, solving equations, equations, systems, systems of equations, solving systems of equations
  • There are 100 senators and 435 representatives (#324)
    There are 100 senators and 435 representatives in the United States ...
    gcf, greatest common factor
  • Two times a number plus (#898)
    Two times a number plus the square of the number equals 48...
    greatest common factor
  • You made 63 wheat dinner roll (#184)
    You made 63 wheat dinner rolls, 45 rye dinner rolls, and 54 sourdough dinner rolls for a family picnic. You want to make up plates of rolls to set on the picnic tables. If each plate is to contain the same amount of each type of roll, and there are no left over rolls, what is the greatest number of plates that can be made? How many wheat dinner rolls, rye dinner ...
    greatest common factor

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Many students find greatest common factor word problems difficult. At TuLyn, we created word problems on greatest common factor to help you better understand greatest common factor.