GCF & LCM

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides each of the given 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 each of the given 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 the GCF of 14, 56, and 63?

Back

The GCF of 14, 56, and 63 is 7.

Front

What is the LCM of 5, 10, and 15?

Back

The LCM of 5, 10, and 15 is 30.

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 two numbers.

Front

How can prime factorization be used to find the GCF?

Back

To find the GCF using prime factorization, break each number down into its prime factors, then multiply the lowest powers of all common prime factors.

Front

How can prime factorization be used to find the LCM?

Back

To find the LCM using prime factorization, break each number down into its prime factors, then multiply the highest powers of all prime factors present in any of the numbers.

Front

What is the GCF of 28, 42, and 56?

Back

The GCF of 28, 42, and 56 is 14.