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 all the given numbers 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 all the given numbers.

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 6 and 12?

Back

The GCF of 6 and 12 is 6.

Front

What are the common factors of 10 and 15?

Back

The common factors of 10 and 15 are 1 and 5.

Front

What is the LCM of 5, 6, and 15?

Back

The LCM of 5, 6, and 15 is 30.

Front

What is the LCM of 5, 9, and 15?

Back

The LCM of 5, 9, and 15 is 45.

Front

What is the GCF of 12, 42, and 60?

Back

The GCF of 12, 42, and 60 is 6.

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.