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What is the greatest common divisor of $121^2 + 233^2 + 345^2$ and $120^2 + 232^2 + 346^2$?

 Jan 15, 2021
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I am reasonably sure this is another AoPS question that you should not be asking here.

 

But I will give you a hint:

there is only one difference with each of the terms.

So it is not that difficult to put the sides in terms of A+k  and A

Then it is easy to find the GCD.

You should find it on your own now.

 

Even without doing this you can find out what a common divisor is just by looking at what the last digit will be with each one.

 Jan 15, 2021

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