Analyzing the Chinese Remainder Theorem to Find Solutions Efficiently
Aditi S. Phadke
Dr. Aditi Sunil Phadke, Associate Professor, Department of Mathematics, Modern Education Society’s, Nowrosjee Wadia College, Pune (Maharashtra), India.
Manuscript received on 23 March 2026 | First Revised Manuscript received on 30 March 2026 | Second Revised Manuscript received on 07 April 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026 | PP: 55-56 | Volume-6 Issue-1, April 2026 | Retrieval Number: 100.1/ijam.A124406010426 | DOI: 10.54105/ijam.A1244.06010426
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we explain the logic for simultaneously solving linear congruences using the Chinese Remainder Theorem and apply it to develop an easy method for finding the solution. Mathematics Subject Classification [2020]: Primary 11A41.
Keywords: Simultaneous Linear Congruences, Chinese Remainder Theorem.
Scope of the Article: Number Theory