Question

If a=2n+13,b=n+7 where n is a natural number, then the HCF of a and b is:

A. 1
B. 2
C. 3
D. 4

Answer 1

The highest common factor (HCF) of a and b is A) 1.

Step-by-step explanation:

To find the highest common factor (HCF) of a and b, we need to find the highest common factor of their respective coefficients of n.

a = 2n + 13

b = n + 7

Let's factor out n from both expressions:

a = n(2 + 13/n)

b = n(1 + 7/n)

The HCF of a and b is simply the HCF of the coefficients of n, which is 1.

Therefore, the HCF of a and b is A. 1