Question

state fundamental theorem of arithmetic. is it possible that HCF and LCM of two numbers be 24 and 540 respectively. justify your answer.​

Answer 1

Answer:

The fundamental theorem states that any composite no. can be expressed as product of primes

HCF is a factor of LCM

but in this case 24 is not a factor of 540.

$\frac{24}{540} = \frac{8}{180} = \frac{4}{90} = \frac{2}{45}$

so in this case 24 is not a factor of 540.

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