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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET