In the book the problem says: What is the GCD of two natural numbers m and n if after increasing the number m by 6 the GCD of two numbers increased 9 times.
And the solution it gives is 2,3 or 6. Can someone explain how is it. And what values of m and n satisfy the equation. I can't find any. May be i couldn't understand the question or the book is miss printed. Idk. Please help me understand this with some examples. Thanks