Lesson: The Greatest Common Factor of Monomials Mathematics • 7th Grade

In this lesson, we will learn how to find the greatest common divisor (factor) of two or more monomials.

Lesson Plan

Students will be able to

find the greatest common factor of a given list of monomials and understand how to find the greatest common factor in general,
use the greatest common factor of the terms of a polynomial to completely factor the polynomial,
use a given greatest common factor of a given list of monomials or the terms of a polynomial to find unknown values,
factor a polynomial completely in a real-world scenario and use the factored form to solve a problem.

Q1:

Find the GCF of and , given that and are positive, whole numbers.

Q2:

Find the greatest common factor of and , given that and are positive integer numbers.

Q3:

Find the greatest common factor of , , and , given that , , and are positive integer numbers.