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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?

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AL2006


-- 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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