Question

If p and q are two positive integers such that p-10q =0 then the HCF of P and q is. Pls find the answer. It is 80 points

Answer 1

Step-by-step explanation:

10q-p=0

⇒10q=p

⇒q is a factor of itself and a factor of itself.so it can only be said that it is the hcf.

Answer 2

Given:

p and q are two positive integers such that p - 10q = 0.

To find:

The HCF of p and q.

Solution:

To solve this question, first of all, we should know that the HCF of two numbers a and b is equal to the highest common factor present in both numbers a and b.

Thus, as given, we have two positive integers p and q where

p - 10q = 0.

So,

p = 10q

So, we will find the HCF of two numbers 10q and q.

Hence, the HCF of 10q and q is:

factors of 10q = 1 × 10 × q

factors of q = 1 × q

As we can see, the highest common factor between 10q and q is

= 1 × q

= q

Hence, the HCF of p and q is q.