Relatively prime numbers explained

Learn and know what are relatively prime numbers in math. In number system chapter we will learn different types of numbers, in that we have relatively primes also. It has one more name that is coprimes. Relatively prime numbers or coprime numbers both meaning is same.

Relatively prime numbers explained

While defining relatively primes we use one term like H.C.F. If you know already what is the meaning of H.C.F and the methods of finding the H.C.F then there is no problem. Otherwise first know completely about H.C.F after that understanding relatively prime numbers becomes easy.

Relatively prime numbers definition:

Relatively prime numbers definition is given as “any two numbers whose H.C.F is equal to 1 are called as relatively prime numbers”. Let us consider two numbers “p” and “q”. If these two numbers H.C.F is 1 then “p” and “q” are called as relatively prime numbers.


“p” and “q” need not be prime numbers. We can take any type of numbers in the place of “p” and “q”.


4 and 7 are relatively primes because the H.C.F of 4 and 7 is equal to 1.

21 and 13 are also relatively primes as H.C.F of 21 and 13 is 1.

To know whether the given numbers are relatively primes or not, you need to find out their H.C.F. In the above examples I wrote directly the H.C.F as 1 because I know already.

List of Some more relatively primes are

(52, 19), (10, 73), (5, 2), (6, 13), (17, 25), (36, 41), (51, 31) and so on.

Hope that the definition what I given for relatively primes is easy to understand.

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