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

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 GCF of two numbers?

Back

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

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 is 4.

Front

What is the LCM of 4 and 6?

Back

The LCM is 12.

Front

If Oscar needs to pack CDs, and he 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.

Front

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

Back

48 days.

Front

The school cafeteria serves tacos every 6 days and cheeseburgers every 8 days. How many days until both are on the menu again?

Back

24 days.

Front

Matthew goes hiking every 2 days and swimming every 6 days. How many days until he does both again?

Back

12 days.