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Explore the fundamental concepts of the Euclidean Algorithm in this 22-minute video lecture on number theory. Delve into the mathematical principles behind this ancient yet powerful algorithm, understanding its applications in finding the greatest common divisor of two numbers. Learn how to implement the algorithm step-by-step, and discover its significance in various areas of mathematics and computer science. Gain insights into the historical context and modern relevance of this essential tool in number theory, enhancing your problem-solving skills and deepening your understanding of mathematical algorithms.