HAIT Journal of Science and Engineering C
Volume 4, Issues 1-2, pp. 221-232
© 2007 Holon Institute of Technology

 

Solving Diophantine equations by Euclid's algorithm and continued fractions

Ya'akov Nahir

Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
email: ynahir@bezeqint.net
Received 18 December 2005, accepted 30 April 2006

 

A procedure is presented by which linear Diophantine equations are solved by adopting and merging together Euclid's algorithm and Continued fractions. By this procedure the equations are solved almost immediately.

 


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