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Chapter 4: Q37. (page 179)

Find the greatest common factors of the monomials.

12m2n3,70m3n

Short Answer

Expert verified

The greatest common factors of the monomial is 2m2n.

Step by step solution

01

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.

02

Step -2 – Find the common factors

Here, the monomials are 12m2n3,70m3n

First finding the factors of numbers.

The factor of 12 is 12=1,2,3,4,6,12

The factor of 70 is 70=1,2,5,35,70

Again, find the factors of variables

The factor of m2n3 is m2n3=m脳m脳n脳n脳n

The factor of m3n is m3n=m脳m脳m脳n

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 2.

the common factor among the variables are m脳m脳n

So, the greatest common factor is 2m2n.

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