GCF and LCM Word Problems Challenge

The video tutorial covers how to determine whether to use the greatest common factor (GCF) or the least common multiple (LCM) in word problems. It provides strategies for identifying GCF and LCM problems, such as visualizing grouping or cycles. The tutorial includes five examples: choir grouping, calculator inspection, jogging track, refreshment tables, and parade floats, demonstrating the application of GCF and LCM in practical scenarios.

When visualizing a problem, if you see items being broken apart, which concept should you use?

• Least Common Multiple

• Greatest Common Factor

• Addition

• Subtraction

Which word indicates a problem might involve finding the Least Common Multiple?

• Divide

• Groups

• Every

• Maximum

In the choir example, what is the greatest number of groups that can be formed?

• 36

• 24

• 12

• 6

How many Sopranos will be in each group if there are 24 Sopranos and 12 groups?

• 4

• 1

• 2

• 3

If Mary inspects every 12th calculator and Nancy inspects every 9th, which calculator will they both inspect first?

• 18th

• 24th

• 36th

• 48th

In the joggers example, how many minutes will pass until both joggers meet at the starting point again?

• 12 minutes

• 18 minutes

• 30 minutes

• 24 minutes

What is the greatest number of refreshment tables Seth can stock if he has 15 cans of regular soda and 20 cans of diet soda?

• 5

• 4

• 3

• 6

How many cans of regular soda will be on each table if there are 15 cans and 5 tables?

• 2

• 3

• 4

• 5

In the homecoming parade example, how many students should be on each float if there are 100 seniors and 80 juniors?

• 8

• 9

• 10

• 20

What is the GCF of 100 and 80 in the homecoming parade example?

• 10

• 20

• 30

• 40