GCF & LCM Word Problems Challenge

The video tutorial explains how to solve word problems involving the Greatest Common Factor (GCF) and Least Common Multiple (LCM). It begins with a review of the definitions of GCF and LCM, followed by strategies to identify whether a problem requires finding the GCF or LCM. The tutorial provides examples of real-life scenarios where these concepts are applied, such as dividing items into groups or determining when events coincide. The video concludes with a summary of the key points and emphasizes the importance of understanding these concepts for solving various mathematical problems.

What does GCF stand for?

• Greatest Common Function

• Greatest Common Factor

• Greatest Common Fraction

• Greatest Common Formula

What is the LCM of two numbers?

• The average of the two numbers

• The largest number that divides both numbers

• The smallest number that both numbers can multiply to become

• The difference between the two numbers

In a word problem, if items are being split into groups, which concept is likely being used?

• Sum

• GCF

• Average

• LCM

Destiny has 18 chocolate bars and 12 cookies. She wants to make identical snack bags. How many snack bags can she make?

• 9

• 6

• 3

• 2

Ronald does laundry every 6 days and Tim every 9 days. How many days until they both do laundry on the same day?

• 12 days

• 15 days

• 18 days

• 21 days

How many times will Ronald have done laundry in 18 days?

• 4 times

• 3 times

• 5 times

• 2 times

Leo has 32 forwards and 80 guards in his basketball league. How many guards will be on each team if he creates the greatest number of teams possible?

• 8

• 2

• 4

• 5

Miranda spends $7 each time she goes to the store, and Savannah spends $9. What is the least number of times Miranda has been to the store if they spent the same total amount?

• 7 times

• 8 times

• 9 times

• 10 times

What is the least common multiple of 7 and 9?

• 49

• 72

• 56

• 63

If you are looking for the number of groups in a problem, which concept are you using?

• Difference

• LCM

• GCF

• Sum