GCF/LCM/Distributive Property

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

What is the LCM (Least Common Multiple)?

Back

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

Front

How do you find the GCF of 12 and 18?

Back

List the factors: 12 (1, 2, 3, 4, 6, 12) and 18 (1, 2, 3, 6, 9, 18). The GCF is 6.

Front

How do you find the LCM of 4 and 5?

Back

List the multiples: 4 (4, 8, 12, 16, 20...) and 5 (5, 10, 15, 20...). The LCM is 20.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Use the distributive property: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What are factors of a number?

Back

Factors are numbers that can be multiplied together to get that number.

Front

List the factors of 15.

Back

1, 3, 5, 15.

Front

TRUE or FALSE? The GCF of two numbers is always less than or equal to the smallest number.

Back

TRUE.

Front

What is an example of using the distributive property to simplify 6(2 + 3)?

Back

6(2 + 3) = 6*2 + 6*3 = 12 + 18 = 30.