GCF and LCM Practice

Front

What does GCF stand for?

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?

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 6 include 6, 12, 18, 24, 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 18 include 1, 2, 3, 6, 9, and 18.

Front

If Jenny goes to dance class every 6 days and karate class every 9 days, how do you determine when she will do both again?

Back

To determine when Jenny will do both classes again, find the LCM of 6 and 9, which is 18 days.

Front

What is the relationship between GCF and LCM?

Back

The relationship between GCF and LCM of two numbers can be expressed as: GCF(a, b) * LCM(a, b) = a * b.

Front

Can a number be both a GCF and LCM?

Back

Yes, a number can be both a GCF and LCM if the two numbers being compared are the same. For example, GCF(5, 5) = 5 and LCM(5, 5) = 5.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.