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

When do you use GCF in word problems?

Back

Use GCF when you need to divide items into equal groups without leftovers.

Front

When do you use LCM in word problems?

Back

Use LCM when you need to find a common time or event that occurs at regular intervals.

Front

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

Back

The maximum number of groups Colton can make is 8 (GCF of 16 and 8).

Front

Two neon 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

Hannah is making a game board that is 16 inches by 24 inches. What is the largest tile size she can use?

Back

The largest tile size she can use is 8 inches (GCF of 16 and 24).

Front

I am planting 50 apple trees and 30 peach trees. What is the greatest number of trees I can plant per row?

Back

The greatest number of trees per row is 10 (GCF of 50 and 30).

Front

Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musicals. 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

What is the formula to find the GCF of two numbers?

Back

The GCF can be found using the prime factorization method or the Euclidean algorithm.