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

If Jane has 18 juice boxes, 24 bags of peanuts, and 36 apples, what is the greatest number of snack bags she can make?

Back

6

Front

If Shannon has 32 maroon balloons, 24 white balloons, and 16 orange balloons, what is the greatest number of arrangements she can make?

Back

4

Front

If Lisa has 12 coloring books and 36 crayons, what is the greatest number of baskets she can make?

Back

12

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.

Front

If cups are sold 5 to a package and plates are sold 10 to a package, what is the least number of packages needed to have the same number of each item?

Back

10

Front

What is a practical application of finding the GCF?

Back

Finding the GCF helps in distributing items evenly without leftovers.