GCF and LCM Word Problems Challenge

This video tutorial covers solving word problems involving the greatest common factor (GCF) and least common multiple (LCM). It introduces the concept of determining whether to go 'big' or 'small' when solving these problems. Two examples are provided: one involving GCF with sports teams and another involving LCM with quiz schedules. The tutorial explains how to set up and solve these problems, emphasizing the importance of identifying whether the problem requires finding a GCF or an LCM.

What is the main focus of this lesson?

• Solving algebraic equations

• Setting up and solving GCF and LCM word problems

• Understanding fractions

• Learning about geometry

When solving word problems, what should you ask yourself to determine if you need the GCF or LCM?

• Are the numbers even or odd?

• What is the sum of the numbers?

• Are we going big or small?

• What is the difference between the numbers?

If you are 'going small' in a word problem, what are you looking for?

• The sum

• The LCM

• The product

• The GCF

In the first example, how many groups can be made with 8 and 12 players?

• 6

• 4

• 3

• 2

How many players from the team with 8 players will be in each group?

• 3

• 2

• 1

• 4

How many players from the team with 12 players will be in each group?

• 4

• 3

• 6

• 2

In the second example, how often do the religion and math quizzes coincide?

• Every 36 days

• Every 8 days

• Every 12 days

• Every 24 days

What is the LCM of 8 and 12?

• 8

• 12

• 16

• 24

How many days until the quizzes coincide for the third time?

• 96 days

• 72 days

• 48 days

• 24 days

What is the key difference between finding the GCF and LCM in word problems?

• GCF is used for addition, LCM is used for multiplication

• GCF is for smaller numbers, LCM is for larger numbers

• GCF and LCM are the same

• GCF is for larger numbers, LCM is for smaller numbers