Using Euclidean Algorithm, find the solution to the given equation

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

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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