GCF, LCM & Distributive Property

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

What is the Least Common Multiple (LCM)?

Back

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

Front

How do you find the LCM of two numbers?

Back

List the multiples of each number and identify the smallest multiple they have in common.

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.

Front

If the GCF of 12 and 16 is 4, what is their LCM?

Back

The LCM is 48, calculated as (12 * 16) / GCF.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

Give an example of the Distributive Property.

Back

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

Front

How can the Distributive Property help in simplifying expressions?

Back

It allows you to multiply a single term by each term inside a parenthesis, making calculations easier.

Front

What is an example of finding the LCM using prime factorization?

Back

To find the LCM of 18 and 24, use prime factorization: 18 = 2 x 3^2, 24 = 2^3 x 3. LCM = 2^3 x 3^2 = 72.