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5 January, 10:28

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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  1. 5 January, 10:52
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    - - 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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