GCF and LCM Review

GCF and LCM

Multiple Choice

What is a factor?

• numbers we can multiply together to get another number

• the total amount resulting from the addition of two or more numbers, amounts, or items

• the action of separating something into parts or the process of being separated

• a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero

Multiple Choice

What is a multiple?

• a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero

• the total amount resulting from the addition of two or more numbers, amounts, or items

• the result of multiplying a number by an integer (not by a fraction)

• the action of separating something into parts or the process of being separated

Fill in the Blank

What is the least common multiple of 2 and 3?

Fill in the Blank

What is the least common multiple of 9 and 4?

Fill in the Blank

What is the greatest common factor of 20, 10, and 15?

Fill in the Blank

What is the greatest common factor of 9, 18, and 6?

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What is the greatest common factor of 18, 12, and 9?

Multiple Choice

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Multiple Choice

Matthew and Polly are each assigned a paper for a class they share. Matthew decides to write 9 pages at a time while Polly decides to write 12 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

Matthew and Polly are each assigned a paper for a class they share. Matthew decides to write 9 pages at a time while Polly decides to write 12 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?

Multiple Choice

Elise wishes to advertise her business, so she gives packs of 4 red flyers to each restaurant owner and sets of 12 blue flyers to each clothing store owner. At the end of the day, Elise realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

Elise wishes to advertise her business, so she gives packs of 4 red flyers to each restaurant owner and sets of 12 blue flyers to each clothing store owner. At the end of the day, Elise realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?

Multiple Choice

Hugo is putting together first-aid kits. He has 32 large bandages and 48 small bandages, and he wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Hugo could put together?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

Hugo is putting together first-aid kits. He has 32 large bandages and 48 small bandages, and he wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Hugo could put together?

Multiple Choice

An event has 9 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

An event has 9 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?

Multiple Choice

Which pair of numbers has a GCF of 5?

• 10 and 25

• 30 and 40

• 45 and 9

• 50 and 25

Multiple Choice

Find the GCF of 64 and 144.

Hint-Remember to use your factor trees to help you.

• 8

• 6

• 16

• 2