Gcf Word Problems

There are 48 girls and 64 boys. 
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?

• 8

• 6

• 16

• 12

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?

• 2

• 4

• 6

• 8

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?

• 7

• 8

• 9

• 10

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

• 1

• 2

• 3

• 4

Shara is baking cookies to put in packages for a fundraiser. Shara has made 54 chocolate chip cookies and 63 sugar cookies. Shara wants to create identical packages of cookies to sell, and she must use all of the cookies. What is the greatest number of identical packages that Shara can make?

• 9 packages

• 42 packages

• 378 packages

• 18 packages

Kiara baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

• 6 plastic containers

• 12 plastic containers

• 36 plastic containers

• 144 plastic containers

Hot dogs come in packs of 10, while hot dog buns come in packs of 12. You would like to buy enough of each (hot dogs and buns) so that when you put together the hog dogs with the buns, you have nothing left over. What is the least number of hot dog/buns you can make?

• 36

• 48

• 52

• 60

What is the greatest number of fruit baskets he can make?

• 1

• 2

• 3

• 4

Answer explanation

To find the greatest number of baskets, determine the GCD of 18 and 27. The GCD is 9. Thus, Peter can make 18/9 = 2 baskets of oranges and 27/9 = 3 baskets of pears. The limiting factor is 2 baskets, but he can make 3 baskets total.

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?

• 7

• 8

• 9

• 10

Answer explanation

To find the greatest number of baskets with the same number of pears, we need the greatest common divisor (GCD) of 18 and 27. The GCD is 9, so each basket can contain 9 pears, allowing for 2 baskets.

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?

• 2

• 4

• 6

• 8

Answer explanation

To find the greatest number of identical containers, we need the greatest common divisor (GCD) of 30 and 48. The GCD is 6, meaning Kiara can use 6 containers, with each containing 5 oatmeal and 8 chocolate chip cookies.