Question

can two numbers have Hcf 15 and lcm 350

Answer 1

No, they cannot be, as a HCF is a factor of the LCM, so 350 must be able to divide 15 with no remainder.

However, 350/15 gives us a remainder of 5, so there cannot be 2 numbers with a HCF of 15 and a LCM of 350.

Answer 2

Here, LCM = 350
And, HCF = 15

Clearly, 350/15 = 23.33 (remainder not zero)

Thus, there do not exist two numbers whose HCF is 15 and LCM is 350