GCF and LCM

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What does LCM stand for in mathematics?

Back

LCM stands for Least Common Multiple, which is the smallest positive integer that is a multiple of two or more integers.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that they have in common.

Front

How do you find the LCM of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and identify the smallest multiple that they have in common.

Front

What is a multiple?

Back

A multiple of a number is the product of that number and an integer. For example, multiples of 3 include 3, 6, 9, 12, etc.

Front

What is a factor?

Back

A factor of a number is an integer that can be multiplied by another integer to produce that number. For example, factors of 12 include 1, 2, 3, 4, 6, and 12.

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

What is the LCM of 12 and 6?

Back

The LCM of 12 and 6 is 12.

Front

If two numbers are coprime, what is their GCF?

Back

If two numbers are coprime, their GCF is 1.

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.