Geodesic
An effective programming of GCD Algorithms for natural numbers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 3-8.

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We study the problem of acceleration of GCD algorithms for natural numbers based on the approximating k-ary algorithm. We suggest a new scheme of the algorithm implementation ensuring the value of the reduction coefficient $\rho=A_i/B_i$ at a stage of the procedure equal or exceeding $k$ where $k$ is a regulating parameter of computation not exceeding the size a computer word. This ensures a significant advantage of our algorithm against the classical Euclidean algorithm.
Keywords: greatest common divisor, Euclidian GCD Algorithm, $k$-ary Algorithm, approximating $k$-ary Algorithm. 
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     title = {An effective programming of {GCD} {Algorithms} for natural numbers},
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Al Halidi Arkan Mohammed; Sh. T. Ishmukhametov. An effective programming of GCD Algorithms for natural numbers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 3-8. http://geodesic.mathdoc.fr/item/IVM_2020_6_a0/

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