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Find two numbers each of three digit such that their gcd is 8 and their LCM is 1768

Answer»

Answer: The two numbers of three digits such that their gcd is 8 and their LCM is 1768 are 104 and 136.


Step-by-step EXPLANATION:

Dividing the LCM by the gcd, we get:

1768/8= 221

Now, FACTORIZE the resulted number, 221 as follow:

221= 13x17

There is only two factors, i.e. 13 and 17.

So,

The first number= 8x13= 104

The second number= 8x17= 136




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