![]() The extended Euclidean algorithm is applied by gcd to compute unique polynomials s, t and g in x such that s*A + t*B = g where g is the monic greatest common divisor of A and B. Version 12.2 adds 228 new functions, expanding Mathematica and the Wolfram Language's functionality in biomolecular sequence operations, PDE modeling, spatial statistics and remote batch job evaluation, plus new notebook interface features and more. ![]() ![]() It allows computers to do a variety of simple number-theoretic tasks, and also serves as a foundation for more complicated algorithms in number theory. It is a method of computing the greatest common divisor (GCD) of two integers a a and b b. Note that if the input polynomials are multivariate then, in general, s and t will be rational functions in variables other than x. The Euclidean algorithm is arguably one of the oldest and most widely known algorithms. If unspecified, findsym(A,1) or findsym(B,1) is used (whichever returns a non-NULL result first). The optional argument x specifies the dependant variable. LCM, GCD, and MOD Abigail Nussey Using Bernoulli's Formula to Sum Powers of the Integers from 1 to n Ed Pegg Jr. ![]() The gcd function computes the greatest common divisor of two polynomials A and B. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. MTM - greatest common divisor of polynomials
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