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Chapter 4: Q36. (page 179)

Find whether the numbers are relatively prime or not : 152,171

Short Answer

Expert verified

It is not a relatively prime number.

Step by step solution

01

Step -1 - Apply the concept of   GCF and relatively Prime

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 and also know the concept of relatively prime that means those whose have a only factor 1 not other than any other.

02

Step -2 – Find the common factors

Here, the numbers are 152,171.

First finding the factors of numbers.

The factor of 152 is 152=2脳2脳2脳19

The factor of 171 is 171=19脳3脳3

03

Step -3 – Finding the GCF and know whether it is relatively prime or not

Now, the common factor among the numbers are 19.

So, the greatest common factor is 19.

Since, the two numbers have HCF other than 1, therefore they are not relatively prime.

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