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Strange Equation (Posted on 2013-03-11) Difficulty: 3 of 5
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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Equation | Comment 7 of 10 |

Lets Say

(a,b) = X

(a,c) = Y

(b,c) = Z

then equation is X^2+XY/(X,Y)+XZ/(X,Z)+YZ/(Y,Z)=199

Still no solution so far.


  Posted by Salil on 2013-03-19 06:30:41
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