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## Homework Statement

I have questions along the line of

Use the Euclidean Algorithm to find d= gcd(a,b) and x, y [itex]\in[/itex] [itex]Z[/itex] with d= ax +by

## Homework Equations

## The Attempt at a Solution

Ok so I use the euclidean algorithm as I know it on say gcd (83,36), by minusing of the the lowest number and repeating until i get the last non zero remainder ie, the gcd but I am completely lost on how to find the form ax +by, I know there must be some technique other than guessing and trial and error....

anyone care to let me in?