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

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

List the multiples of each number and identify the smallest multiple they have in common.

Front

Find the GCF of 18 and 24.

Back

The GCF is 6.

Front

Find the LCM of 4 and 6.

Back

The LCM is 12.

Front

If Oscar has 14 rock CDs, 12 classical CDs, and 8 pop CDs, what is the greatest number of CDs he can pack in each box?

Back

2 CDs per box.

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 later.

Front

Miss Friedman has 18 party hats and 24 noise makers. How many party favors can she make without leftovers?

Back

6 party favors with 3 hats and 4 noise makers.

Front

Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. When will she do all three activities on the same day again?

Back

48 days later.