19-03-2015
Mathematics

Answered

The GCF of two numbers is 871. Both numbers are even and neither is divisible by the other. What is the smallest that these two numbers could be?

Answer :

19-03-2015

-- If the GCF of both numbers is 871, then they're both multiples of 871.

-- If they're both even, then they must both be even multiples of 871.

-- They can't be the 2nd and 4th multiples of 871, because then the
bigger one would be divisible by the smaller one.

-- So the smallest they could be is the 4th and 6th multiples of 871 ...

3,484 and 5,226 .

Weird problem !

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