GCD using Euclidian Algorithm [नेपाली] bsccsit ioe bca

Welcome to our YouTube video on the Euclidean Algorithm and its application to find the Greatest Common Divisor (GCD) of two numbers! In this tutorial, we'll dive deep into the concept of GCD and show you step-by-step how to calculate it using the Euclidean Algorithm. The GCD is a fundamental concept in number theory, and it's incredibly useful in various mathematical and computational applications. Whether you're a student learning about number theory or a programmer looking to optimize your algorithms, understanding the Euclidean Algorithm and GCD computation is essential. In this video, we'll start by explaining the basic principles behind the Euclidean Algorithm and how it works. We'll explore the recursive nature of the algorithm, which relies on the observation that the GCD of two numbers remains the same when the smaller number is subtracted from the larger one. Next, we'll provide a clear and concise step-by-step demonstration of the Euclidean Algorithm in action. You'll learn how to iteratively apply the algorithm until you reach the point where one number becomes zero. At that stage, the remaining nonzero number will be the GCD of the original two numbers. To ensure your understanding of the topic, we'll solve multiple examples using the Euclidean Algorithm, showcasing its versatility and efficiency. We'll cover cases with both small and large numbers, making it easier for you to grasp the concepts and see the algorithm in action. Additionally, we'll discuss some interesting properties and applications of the GCD. You'll discover how it relates to concepts like coprime numbers, modular arithmetic, and how it can be used to simplify fractions. Whether you're a beginner or have some prior knowledge of the Euclidean Algorithm, this video will provide you with a comprehensive understanding of how to calculate the GCD using this efficient method. So, if you're ready to master the Euclidean Algorithm and unlock the power of finding the GCD, hit that play button and join us on this educational journey. Don't forget to subscribe to our channel for more math and algorithmic content. Let's get started!

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