Question

..If LCM of three digit two numbers is 117 times the GCD then find
the difference between the numbers,if their GCD is 12 ?​

Answer 1

Answer:

LCD(12p, 12q) = 12*p*q

Then p*q = 117

Step-by-step explanation:

LCM = 117 * GCD

GCD = 12

Then:

LCM = 117*12

Let’s call the numbers a and b.

a = 12*p

b = 12*q

[Why? Well, 12 is the GCD, so both can be divided by 12]

GCD(a, b) = 12

GCD(12p, 12q) = 12 implies p and q are relative primes,

that is, p and q don’t have any prime factor in common.