GCF/LCM Word Problems

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

What does LCM stand for?

Back

LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more numbers.

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

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

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

If two boxes are 12 inches and 8 inches tall, what is the shortest height at which they will be the same height?

Back

The shortest height is 24 inches.

Front

Tony has 12, 24, and 30 DVDs. What is the greatest number of DVDs he can pack in each box?

Back

The greatest number of DVDs he can pack in each box is 6 (GCF of 12, 24, and 30).

Front

Two signs blink every 9 seconds and 15 seconds. When will they blink together again?

Back

They will blink together again in 45 seconds (LCM of 9 and 15).

Front

Colton has 16 blue marbles and 8 white marbles. What is the maximum number of identical groups he can make?

Back

The maximum number of identical groups is 8 (GCF of 16 and 8).