If two numbers are relatively prime or co-prime, then their HCF is

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answer is C.

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Detailed Solution

Concept- A number is referred to as a prime number if it only has the factors 1 and itself. For example, 13, 17 etc.
A group of integers are said to be co-prime numbers if they only share the number one as a common factor.
It is not essential for two numbers to be prime in order for them to be co-prime or relatively prime. One number could be composite in any case.
For example,
Factor of 12 are 1, 2, 3, 4, 6, 12
Factors of 17 are 1, 17.
The common factor of 12 and 17 is 1.
Thus, they are co-prime or relatively prime numbers. Let's assume that a and b are two co-prime or relatively prime numbers.
We will first identify their factors in order to determine its HCF.
Factors of a is 1, a
Factors of b is 1, b
Thus, a and b share a common factor of 1. It also has the highest level of commonality.
Therefore, if two numbers are co-prime or relatively prime, then their HCF is 1.
Hence, the correct answer is option 3) 1

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