Question

the product of two positive numbers is 32. Their lcm is twice the hcf, then their hcf is

Answer 1

let the HCF of the two numbers be X

so according to the question the LCM of the two numbers is 2 x

we know that the product of the HCF and LCM of two numbers is the same as the product of two numbers
so here we have
2x^2=32
x^2=32/2=16
x=4

so the HCF of the numbers is 4

Answer 2

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