GCF and LCM Word Problems

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

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

Front

What is the Least Common Multiple (LCM)?

Back

The LCM is the smallest number that is a multiple of two or more numbers.

Front

How do you find the LCM of two numbers?

Back

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

Front

Kaden has 6 cans of regular soda and 15 cans of diet soda. What is the greatest number of refreshment tables he can stock?

Back

GCF = 3 tables.

Front

Henry takes 7 minutes to ride around a track, and Margo takes 12 minutes. When will they meet at the starting line?

Back

84 minutes.

Front

Jenny goes to karate class every 12 days and to the library every 18 days. When will she do both on the same day again?

Back

36 days.

Front

Lisa has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make?

Back

12 baskets.

Front

Shannon has 32 maroon balloons, 24 white balloons, and 16 orange balloons. What is the greatest number of arrangements she can make?

Back

4 arrangements.

Front

What is a factor?

Back

A factor is a number that divides another number evenly, without leaving a remainder.