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