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Product of two number are 2400 and their L.C.M. is 120. Their H.C.F. is:

Question

Product of two number are 2400 and their L.C.M. is 120. Their H.C.F. is:

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Solution

The product of two numbers is equal to the product of their H.C.F. and L.C.M.

So, if we denote the two numbers as a and b, their H.C.F as h and their L.C.M as l, we have:

a * b = h * l

We know that a * b = 2400 and l = 120. We can substitute these values into the equation to find h:

2400 = h * 120

To solve for h, we divide both sides of the equation by 120:

h = 2400 / 120 = 20

So, the H.C.F. of the two numbers is 20.

This problem has been solved

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