Question

What is the HCF of p and q if q = 11p ?​

Answer 1

Answer:

answer is p

Step-by-step explanation:

p=p

q=11×p

therefore hcf is p

Hope it helps you

Answer 2

Given: p and q such that q = 11p

To find: H.C.F. of p and q

Solution: Whenever we need to find the H.C.F. of two numbers where one is a multiple of the other, the H.C.F. would always be the smaller number.

In the given problem, q = 11p

q is a multiple of p. q > p

Hence, the H.C.F. of p and q will be p.

For better understanding let's take 2 and 16 as examples.

We need to find H.C.F. of 2 and 16.

Using prime factorization method:

2 = 2 x 1

16 = 2 x 2 x 2 x 2 x 1

H.C.F. of 2 and 16 is 2 x 1 = 2

Hence, you can see that 16 is a multiple of 2. In such a case H.C.F. is the smaller number. 2 in this case.