Question

HCF of co prime numbers 4 and 15 was found as follows by factorisation: 4=2x2 and 15=3x5 since ther is no common factor so HCF of 4 and 15 is an 0 is the answer correct ?if not what is correct hcf​

Answer 1

Answer:

Hint: First of all we will have to know about HCF. HCF is the largest or greatest factor common to any two or more given natural numbers.

Complete step-by-step answer:

We have been given that 4=2×2 and 15=3×5

,

Since there is no common prime factor , so HCF of 4 and 15 is 0.

But this is not the correct answer which means HCF of 4 and 15 is not equal to zero, it is equal to 1 given as follows:

factor of 4=2×2×1factor of 15=3×5×1

Clearly, we can see that the highest common factor is 1.

∴

HCF = 1 is the correct HCF.

Note: The two integers a and b are said to be co-prime numbers if the only positive integer (factor) that divides both of them is 1. A set of integers can also be called coprime if its elements share no common positive factor except 1.

Co-prime number is also known as relatively prime number or mutually prime number.

The HCF of two co-prime numbers are always equal to 1.

HCF is also known as the greatest common divisor (GCD).