ALG GCF & LCM of Monomials

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of monomials?

Back

1. Factor each monomial into its prime factors. 2. Identify the common factors. 3. Multiply the lowest powers of all common factors.

Front

Find the GCF of 5x^2y and 15xy^2z.

Back

5xy

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the LCM of monomials?

Back

1. Factor each monomial into its prime factors. 2. Identify all factors, taking the highest power of each. 3. Multiply these together.

Front

Find the LCM of 48x^2 and 32x^3.

Back

96x^3

Front

What is the GCF of 48 and 32?

Back

16

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

If Sara has 16 red flowers and 24 yellow flowers, how many bouquets can she make with the same number of each color?

Back

8

Front

What is the GCF of 36m^4, 9m^2, and 18nm^2?

Back

9m^2