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Question

From the numbers 2,3,4,5,6,7,8,9 how many pairs of co- primes can be formed and how ?

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Solution

Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 11.

You can have the set of positive integers which are coprime to a given number.

Given numbers are,
2,3,4,5,6,7,8,9

Look how many prime numbers are there:
2,3,5,7 are prime

A pair of co-prime can be formed with each of these prime numbers are:
2,3
2,5
2,7
2,9

3,4
3,5
​​​​3,7
3,8

4,5
4,7
4,9

5,6
5,7
5,8
5,9

6,7

7,8
7,9

8,9

​​​


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