Question

can two numbers have 24 as their hcf and 7290 as their lcm ? give reasons

Answer 1

no its not possible
since those 2 numbers have 24 as thier common factor so that means both no.s have 8 as one of thier factors
now 7290 is a multiple of these numbers
but 7290=
${3}^{6} \times 2 \times 5$
it is not having 8 as its factor.
hence the above case is not possible

Answer 2

Answer:

no its not possible it is a very wrong question but it was interesting