Triple diophantine

Number Theory Level 3

Using Euclidean Algorithm, find the solution to the given equation

(198, 288, 512) = 198x + 288y + 512z

Let the value of x + y + z = S. Write your answer as S.

Note :

1) (x, y, z) represents the GCD of x, y and z. 2) Though there can be many solutions of x, y and z. But the first solution that comes using Euclidean Algorithm is the answer.


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