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1.05 Problem solving with GCF and LCM

Adaptive
Worksheet

Interactive practice questions

Determine whether the GCF or LCM would be more useful for solving problems relating to the following situations:

a

Splitting things into smaller sections

GCF

A

LCM

B
b

Arranging something into rows or groups

GCF

A

LCM

B
c

Event that is or will be repeating over and over

GCF

A

LCM

B
d

Purchase or get multiple items in order to have enough

GCF

A

LCM

B
e

Trying to figure out when something will happen again at the same time

GCF

A

LCM

B
Easy
2min

George and Susie want to find the greatest common factor of $24$24 and $34$34 by listing their factors.

Easy
1min

Bob strikes the bass drum every $9$9 beats and the cymbals every $8$8 beats. He wants to know how many beats will pass before he strikes them again at the same time.

Should he calculate the GCF or LCM of these values to solve the problem?

Easy
< 1min

John harvested $52$52 apples and $68$68 oranges from his orchard. He wants to group the fruits together in baskets to make identical packs to sell in the market.

What is the greatest number of baskets he can use?

Medium
< 1min
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Outcomes

6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

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