GCF and 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

If two numbers are 12 and 16, what is their GCF?

Back

The GCF of 12 and 16 is 4.

Front

If two numbers are 8 and 20, what is their LCM?

Back

The LCM of 8 and 20 is 40.

Front

Mandy has 12 bottles of water and 16 cans of food. What is the greatest number of kits she can make?

Back

Mandy can make 4 kits.

Front

Ariel has 7 roses and 14 daisies. What is the greatest number of identical arrangements he can make?

Back

Ariel can make 7 arrangements.

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

Hillary will do all three activities on the same day in 48 days.

Front

What is the relationship between GCF and LCM?

Back

The GCF and LCM of two numbers are related by the formula: GCF(a, b) × LCM(a, b) = a × b.