Can any two no's have 18 as HCF and 279 as LCM? Explain

Let the numbers be x and y.

HCF denotes highest common factor, means that this number must be a factor of both the numbers.

LCM denotes lowest common multiple, means that this number must have the HCF as a factor.

For eg:

let us take 12 and 16.

12 = 2×2×3

16 = 2×2×2×2

 

LCM = 48

HCF = 4

Here HCF is a factor of LCM.

But in case 2 numbers has 18 and 279 as HCF and LCM, 18 is not a factor of 279.

So no two numbers can have 18 and 279 sd HCF and LCM.