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If you work it out you see that if

$a=b=c=1$, then $(1,1)=(1,1)=1$ and $1/1 + 1/1 + 1/1 = 3 =$ integer

and

$b=1, a=c=2$, then $(2,1)=(1,2)=1$ and $1/2 + 1/1 + 1/2 = 2=$ integer.

But please help me prove this

1 Answers 1