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In the extended Euclidean algorithm, x is the modular multiplicative inverse of A under modulo M.
The algorithm mentioned above runs in O(M).Ī and M are coprime i.e. The values that are returned from recursive calls are $$x_1$$ and $$y_1$$, which are used to get x and y. In this algorithm, recursive calls are made to $$GCD (B,A \% B)$$. These equations are key in understanding the extended Euclidean algorithm. $$5 \%2 $$ is 1 because when 5 is divided by 2, the remainder is 1. It is denoted by the $$\%$$ symbol.Īssume that you have two numbers 5 and 2. When one number is divided by another, the modulo operation finds the remainder. This article discusses topics that are frequently used to solve programming problems based on math.