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

In this worksheet, we will practice finding the greatest common divisor (factor) of two or more monomials.

**Q2: **

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

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**Q3: **

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

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**Q4: **

Consider the rectangle shown.

Find its area.

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Find its perimeter.

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Find the greatest common factor of the area and the perimeter.

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**Q5: **

True or False: The greatest common factor of monomials is the product of their common prime factors.

- AFalse
- BTrue

**Q6: **

If the greatest common factor of two monomials is and one of the monomials is , which of the following is the other monomial?

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**Q7: **

What is the greatest common factor of and ?

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**Q8: **

A circle, , has a radius of . Find the greatest common factor of its area and its circumference, given that is a positive integer.

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**Q9: **

True or False: The greatest common factor of and is .

- AFalse
- BTrue

**Q10: **

If the greatest common factor of two monomials is and one of the monomials is , which of the following could be the other monomial?

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