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Chapter 4: Q27. (page 179)

Find the GCF. Also, Find whether the numbers are relatively prime or not : 28,84

Short Answer

Expert verified

The GCF is 28. 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 28,84.

First finding the factors of numbers.

The factor of 28 is 28=7脳2脳2

The factor of 84 is 84=2脳3脳2脳7

03

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

Now, the common factor among the numbers are 2脳2脳7.

So, the greatest common factor is 28.

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

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