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Chapter 4: Q34. (page 179)

Find whether the numbers are relatively prime or not : 115,207

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 115,207.

First finding the factors of numbers.

The factor of 115 is 115=23脳5

The factor of 207 is 207=23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 23.

So, the greatest common factor is 23.

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

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