Question

Lcm of two numbers is 35322 if the number are in the ratio of 1 is to 3 then their hcf is

Answer 1

first number a = x

2nd number b = 3x

lcm of x and 3x is 3x

lcm = 35322

3x = 35322

x = 35322/3 = 11774

so 2nd number b = 3x = 3× 11774 = 35322

now we know

lcm × hcf = a × b

hcf = a×b / lcm = (35322 × 11774)/35322 = 11774