Euclid's algorithm is an ancient and efficient method for finding the GCD of two numbers. The algorithm is based on the observation that the GCD of two numbers does not change if the smaller number is ...
#then m = a*d, n = b*d. #So m-n = ad-bd = (a-b)d # d divides m-n as well. # so gcd(m,n) = gcd(n,m-n) consider gcd(m,n) with m>n If n divides m, return n. otherwise, compute gcd(n,m-n) and return that ...
Abstract: Computation of the greatest common divisor (GCD) for two non-zero polynomials plays a vital role in several applications including cryptography, error-correcting codes, linear systems, and ...
Abstract: In this paper, we are targeting Altera Cyclone IV FPGA family to design an efficient GCD (Greatest Common Divisor) coprocessor based on Euclid's method with variable datapath sizes. The ...
College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China. Department of Mathematics, Shanghai University, Shanghai, China. The task of determining ...