GCF, LCM, and Distributive Property

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

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 GCF of two numbers?

Back

You can find the GCF by listing the factors of each number and identifying the largest common factor.

Front

How do you find the LCM of two numbers?

Back

You can find the LCM by listing the multiples of each number and identifying the smallest common multiple.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Give an example of using the Distributive Property: 3(4 + 5).

Back

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

Front

What is an example of finding the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4, as it is the largest number that divides both without a remainder.

Front

What is an example of finding the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20, as it is the smallest number that is a multiple of both.

Front

If two numbers are 10 and 15, what is their GCF?

Back

The GCF of 10 and 15 is 5.