Added Extended Euclidean Algorithm #905
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Added Recursive Extended Euclidean Algorithm
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While the Euclidean algorithm calculates only the greatest common divisor (GCD) of two integers a and b, the extended version also finds a way to represent GCD in terms of a and b, i.e. coefficients x and y for which: a * x + b * y = gcd(a, b). This is extremely useful in the application of the chinese remainder theorem and calculating modular inverses.