GCF & LCM
GCF & LCM Word Problems
GCF & Distributive Property
Fraction Word Problems
100

The GCF of 27 & 18.

What is 9?

100

Two friends have collections of marbles. One has 12 marbles, and the other has 18 marbles. They want to divide their marbles into groups of the same size without mixing the collections. What is the greatest number of marbles that can be in each group?

What is 6 marbles?

100

Find the GCF from the 2 numbers and rewrite using the distributive property.


12 + 18

What is 6(2+3)?

100

Emma has 3/4 of a yard of ribbon. She wants to cut the ribbon into pieces that are 1/8 of a yard long. How many pieces can she cut?

What is 6 pieces?

200

The LCM of 64 & 16.

What is 64?

200

A school bus arrives every 15 minutes, and a city bus arrives every 20 minutes at the same stop. If both buses just arrived together, how many minutes will pass before they arrive together again?


What is 60 minutes?

200

Write an equivalent expression using GCF and the Distributive property.

36 + 72

What is 36 (1+2)?

200

A recipe calls for 2 1/2cups of flour. If each measuring cup holds 2/3 cup of flour, how many measuring cups of flour does the recipe need?

What is 3 3/4 measuring cups?

300

The GCF of 15 & 60.

What is 15?

300

Sarah has 24 red balloons and 36 blue balloons. She wants to arrange them in rows, with the same number of balloons in each row and no balloons left over. What is the greatest number of balloons she can put in each row?

What is 12 balloons?

300

Find the GCF from the 2 numbers and rewrite using the distributive property.


16 + 72

What is 8(2+9)?

300

Jacob walked 4 3/5 miles in total. If each lap around the park is 7/10 mile, how many laps did Jacob walk?

What is 6 4/7 laps?

400

The LCM of 9 & 12.

What is 36?

400

Two runners start running around a track at the same time. Runner A completes a lap every 9 minutes, and Runner B completes a lap every 12 minutes. After how many minutes will they both be at the starting point together again?

What is 36 minutes?

400

Write an equivalent expression using GCF and the Distributive property.

84+108

What is 12(7+9)?

400

A painter has 5 1/4 gallons of paint. He uses 2/3 gallon of paint per room. How many rooms can he paint with the paint he has?

What is 7 7/8 rooms?

500

The LCM of 4, 8 & 3.

What is 24?

500

A farmer has 48 apple trees and 72 orange trees. He wants to plant the trees in rows so that each row has the same number of trees, and all trees of the same type are in separate rows. What is the least number of rows the farmer can have?


HINT FIND THE GCF FIRST, then figure out the number of rows!

What is 5 rows?


The GCF is 24, there can be 2 rows of apple trees and 3 rows of orange trees.

500

Find the GCF from the 3 numbers and rewrite using the distributive property.


24 + 12 + 60

What is 12(2 + 1 + 5)?

500

A garden is 7 2/3 feet long. If each section of the garden measures 1 1/4 feet, how many whole sections can be made?

What is 6 sections?

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