GCF,LCM, Distributive Property

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number, identify the common factors, and select the largest one.

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number, identify the common multiples, and select the smallest one.

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 in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Using the distributive property, how can you simplify 3(4 + 5)?

Back

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

Front

What is an example of using GCF to factor an expression?

Back

For the expression 24 + 30, the GCF is 6, so it can be factored as 6(4 + 5).

Front

What is the GCF of 36 and 60?

Back

The GCF of 36 and 60 is 12.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.