Mastering GCF and LCM

What is the GCF of 24 and 36?

• 18

• 24

• 12

• 6

Find the LCM of 8 and 12.

• 30

• 16

• 24

• 20

Using prime factorization, what is the GCF of 18 and 30?

• 6

• 3

• 9

• 15

Calculate the LCM of 5, 10, and 15.

• 15

• 30

• 25

• 35

Explain the relationship between GCF and LCM.

• The GCF and LCM of two numbers are related by the formula: GCF(a, b) * LCM(a, b) = a * b.

• GCF and LCM can be calculated independently without any relation.

• GCF and LCM are the same for any two numbers.

• The GCF is always greater than the LCM.

If the GCF of two numbers is 12 and their LCM is 60, what are the two numbers?

• 24 and 30

• 15 and 45

• 18 and 36

• 12 and 60

How can you use GCF to simplify fractions?

• Add the GCF to both the numerator and denominator.

• Use the GCF to divide both the numerator and denominator of a fraction.

• Multiply both the numerator and denominator by the GCF.

• Subtract the GCF from the numerator and denominator.

In a school, 12 students can be grouped into teams of 4. What is the GCF of 12 and 4?

• 6

• 4

• 8

• 2

If you want to find the LCM of 9 and 15 using prime factorization, what are the prime factors?

• The prime factors of 9 and 15 are 1 and 4.

• The prime factors of 9 and 15 are 3 and 5.

• The prime factors of 9 and 15 are 2 and 7.

• The prime factors of 9 and 15 are 6 and 10.

Describe a real-life situation where finding the LCM would be useful.

• Determining the average of a set of values.

• Finding the greatest common divisor of two numbers.

• Calculating the area of a rectangle.

• Scheduling events that repeat at different intervals.