Question

Question 3 HCF of co-prime numbers 4 and 15 was found as follows by factorization: 4 = 2 × 2 and 15 = 3 × 5 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?

Class 6 - Math - Playing with Numbers Page 64

Answer 1

Hi !

Zero is not the HCF 
==============================
4 = 2 x 2 
15 = 3 x 5

or

4 = 2 x 2 x 1
15 = 3 x 5 x 1

HCF = 1 

HCF of 2 co prime numbers is always 1 

Answer 2

Answer:

The given result is not correct.

The common factor in 4 and 5 is 1.

Step-by-step explanation:

Given : HCF of co-prime numbers 4 and 15 was found as follows by factorization:

$4 = 2\times 2$

$15 = 3\times 5$

since there is no common prime factors, so HCF of 4 and 15 is 0.

To find : Is the answer correct ? If not, what is the correct HCF?

Solution :

HCF is the highest common factor i.e. the factor which is common ion both factorization

We can write factorization as

$4 =1\times 2\times 2$ and $15 =1\times 3\times 5$

The common factor in 4 and 5 is 1.

Zero is not the HCF as HCF of two co prime numbers is always 1 .

Therefore, The given result is not correct.