Chapter 4: Q13. (page 177)

Find the greatest common factors of the monomials.
$7 x y^{3}, 28 x y^{2}$

Short Answer

Expert verified

The greatest common factors of the monomial is $7 x y^{2}$ .

Step by step solution

Step -1 - Apply the concept of GCF.

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them.

Step -2 – Find the common factors

Here, the monomials are $7 x y^{3}, 28 x y^{2}$

First finding the factors of numbers.

The factor of $28$ is $7 = 1 \times 7$

The factor of $7$ is $28 = 2 \times 2 \times 7$

Again, find the factors of variables

The factor of $x y^{3}$ is $x y^{3} = x \times y \times y \times y$

The factor of $x y^{2}$ is $x y^{2} = x \times y \times y$

Step -3 – Finding the GCF

Now, the common factor among the numbers are $7$ .

the common factor among the variables are $x \times y \times y$

So, the greatest common factor is $7 x y^{2}$ .

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Find the greatest common factors of the monomials.
$7 x y^{3}, 28 x y^{2}$

Short Answer

Step by step solution

Step -1 - Apply the concept of GCF.

Step -2 – Find the common factors

Step -3 – Finding the GCF

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Find the greatest common factors of the monomials.7xy3,28xy2

Short Answer

Step by step solution

Step -1 - Apply the concept of GCF.

Step -2 – Find the common factors

Step -3 – Finding the GCF

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Find the greatest common factors of the monomials.
$7 x y^{3}, 28 x y^{2}$