GCF
LCM
LCM/GCF Word Problems
LCM/GFC Word Problems
Random
100

Find the GCF of 16 and 12

What is 4? 

100

This is the LCM of 6 and 8

What is 24? 

100

Beth is setting out some snacks for friends she is having over. She has 6 crackers and 18 slices of cheese. If she wants each plate to be identical, with no food left over, this is the greatest number of plates Beth can prepare

What is 6 plates?

100

Larry has 15 blue marbles and 10 white ones. If he wants to place them in identical groups without any marbles left over, this is the greatest number of groups Larry can make.

What is 5? 

100

From what language did English borrow the word "luau"?

Hawaiian

200
This is the GCF of 14 and 84

What is 14? 

200

This is the LCM of 4 and 10

What is 20? 
200

Every seventh customer gets a free appetizer. Every third customer gets a free dessert. Which customer will be the first one to get both the calendar and the coupon?

What is the 21st customer? 

200
Mr. Treiber is super mean and likes to assign quizzes. The average math quiz happens every 8 school days. Religion tests occur every 6 school days. If today students took both a math and religion, this is how many days it will be before you have both a math and religion test on the same day again. 

What is 24 days? 

200

What country gave the world porcelain?

China

300

This is NOT a factor of 42. 


14, 6, 48

What is 48? 

300

This is the LCM of 4 and 15

What is 60? 

300

There are 15 girls and 18 boys in a class. The teacher wants to make reading groups with the same number of girls and the same number of boys in each group. What is the greatest number of reading groups that can be made?

What is 3 groups? 
300

Peter is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12 and hot dog buns come in packs of 9.

The store does not sell parts of a pack and Peter  wants the same number of hot dogs as hot dog buns.

What is 36

300

Which two dimensional character issued these orders, "Off with her head"?

Queen of Hearts
400
This is the GCF of 14, 77, 35

What is 7? 

400

This is the LCM of 4, 5, 7

What is 70?

400

Matthew's Bath Shop sells bars of soap in boxes of 3 bars and bottles of soap in boxes of 9 bottles. An employee is surprised to discover that the shop sold the same number of bars and bottles last week. This is the smallest number of each type of soap that the shop could have sold. 

What is 9 bars and bottles? 

400

A student expressed a sum of two whole numbers as  4(5x 7). What were the two whole numbers?

What is 20 + 28? 

400

St. Louis' Gateway Arch is officially named for what US president?

Thomas Jefferson

500

This is the GCF of 64, 96, and 192

What is 64? 

500

Kailyn and Eddie ended up making the same number of cookies for a bake sale at school, even though Kailyn made them in batches of 7 biscuits and Eddie made them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?

What is 77 biscuits? 

500

Rocco and his family have different types of taco shells on Taco Tuesday. He has 12 soft shell tacos and 16 hard shell tacos. This is how many plates can be made if each plate were to be identical.

What is 4 plates? 

500

Claire volunteers at the dog shelter every 3rd day. She volunteers at the IC Parish office every 12th day. She volunteered at the dog shelter and the parish office both on March 31. On what date will she next volunteer at both?

What is April 12th? 

500

Which fruit is affected by a grey type of fungus known commonly as Noble Rot?

Grapes

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