GCF,LCM, Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 18 and 24?

Back

List the factors: Factors of 18 are 1, 2, 3, 6, 9, 18; Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The GCF is 6.

Front

What is the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the LCM of 8 and 20?

Back

List the multiples: Multiples of 8 are 8, 16, 24, 32, 40, ...; Multiples of 20 are 20, 40, 60, ...; The LCM is 40.

Front

Rewrite 24 + 30 using the Distributive Property and GCF.

Back

6(4 + 5) is the correct expression.

Front

What is the GCF of 36 and 48?

Back

The GCF is 12.

Front

If John works every 8 days and Chris every 20 days, how many days until they work together again?

Back

They will work together again in 40 days.

Front

What is an example of using the Distributive Property?

Back

For example, 5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

How can you express 54 + 90 using GCF and Distributive Property?

Back

The expression is 18(3 + 5).