perplexus.info :: Just Math : Strange Equation

Strange Equation (Posted on 2013-03-11)

Solve the equation
(a^2,b^2)+(a,bc)+(b,ac)+(c,ab)=199. in positive integers.
(Here (x,y) denotes the greatest common divisor of x and y.)

No Solution Yet Submitted by Danish Ahmed Khan

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re: Equation

| Comment 8 of 10 |

(In reply to Equation by Salil)

Even this has an exception when ab=c or bc=a or ac=b.

Posted by Salil on 2013-03-20 01:44:07

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