Can two numbers have 14 as their H C F and 204 as their L C M - Maths - Playing with Numbers

Question

Can two numbers have 14 as their H C F and 204 as their L C
M?
Give reasons in support of your answer

Lalit Mehra · Accepted Answer

Hi!
Let the two numbers be a and b
∴ LCM is divisible by a and b and
a and b are divisible by HCF
∴ LCM is divisible by HCF
Given, LCM = 204 and HCF = 14
Since 14 do not divide 204
∴ Two numbers cannot have 14 as their HCF and 204 as
their LCM
Cheers!

Can two numbers have 14 as their H.C.F and 204 as their L.C.M? Give reasons in support of your answer.

Can two numbers have 14 as their H.C.F and 204 as their L.C.M?

Give reasons in support of your answer.