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, you can list the factors of each number and identify the largest factor they have in common, or use the prime factorization method.

Front

How do you find the LCM of two numbers?

Back

To find the LCM of two numbers, you can list the multiples of each number and identify the smallest multiple they have in common, or use the prime factorization method.

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 LCM of 3 and 5?

Back

The LCM of 3 and 5 is 15.

Front

What is the LCM of 8 and 12?

Back

The LCM of 8 and 12 is 24.

Front

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

Back

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

Front

What is the relationship between GCF and LCM?

Back

The relationship between GCF and LCM can be expressed by the formula: GCF(a, b) × LCM(a, b) = a × b for any two integers a and b.