Question

is it possible to have two numbers whose hcf is 18 ans lcm is 760 give reason

Answer 1

No. The highest common factor (HCF) can divide both numbers, and both numbers can divide the lowest common multiple (LCM), Therefore HCF of two numbers can divide their LCM.

18 does not divide 760 (760÷18=42.22)

so it is not possible to have 18 as HCF and 760 as LCM for two numbers.