HCF of co-prime numbers 4 and 15 was found as follows by factorization:
4 = 2 × 2 and 15 = 3 × 15 since there is no common prime factors, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

Solution:

We will be using the concept of the HCF(Highest Common Factor) to solve this.

We have been given that,

4 = 2 × 2 and 15 = 3 × 15. 

Since there are no common prime factors, so HCF of 4 and 15 is 0 is incorrect.

We see that there are no prime numbers or prime factors common to 4 and 15. Therefore their HCF is the universal factor 1.

Hence, 4 and 15 are co-prime numbers having HCF as 1 and not 0.

You can also use the HCF Calculator to answer this.

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 3.6 Question 3

HCF of co-prime numbers 4 and 15 was found as follows by factorization: 4 = 2 × 2 and 15 = 3 × 15 since there is no common prime factors, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

Summary:

0 is not the HCF of 4 and 15. The correct HCF for the co-prime numbers 4 and 15 is 1.

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