# Lecture Ii the Gcd

@inproceedings{LectureIT, title={Lecture Ii the Gcd}, author={} }

Next to the four arithmetic operations, the greatest common denominator (GCD) is perhaps the most basic operation in algebraic computing. The proper setting for discussing GCD's is in a unique factorization domain (UFD). For most common UFDs, that venerable algorithm of Euclid is available. In the domains Z and F [X], an efficient method for implementing Euclid's algorithm is available. It is the so-called half-GCD approach, originating in ideas of Lehmer, Knuth and Schönhage. The presentation… Expand

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