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Proof for Euclidean Algorithm - Includes explanation of Euclid's original notes
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In this video, I have given the proof for Euclid's algorithm. The video includes reference to Euclid's notes from his "Elements".
Blog post for this video,
Related Videos-
Various methods for finding GCD (includes ladder method):
How to find GCD quickly,
Applications of GCD in measurements,
This video covers the following -
- A brief background of the algorithm
- Euclid's algorithm statement
- An example of Euclid' algorithm implementation
- what is the gcd of zero and a number? why gcd of any number and zero is the same number?
- why gcd of two numbers is same as the gcd of one of the numbers or the smaller number and the difference between the two numbers
- Referring Euclid's notes - how algorithm was derived by Euclid? Measuring two lengths to find GCD.
- How is subtraction replaced with modulo in the algorithm. Why GCD of two numbers is same as GCD of one of the numbers and their modulo?
Blog post for this video,
Related Videos-
Various methods for finding GCD (includes ladder method):
How to find GCD quickly,
Applications of GCD in measurements,
This video covers the following -
- A brief background of the algorithm
- Euclid's algorithm statement
- An example of Euclid' algorithm implementation
- what is the gcd of zero and a number? why gcd of any number and zero is the same number?
- why gcd of two numbers is same as the gcd of one of the numbers or the smaller number and the difference between the two numbers
- Referring Euclid's notes - how algorithm was derived by Euclid? Measuring two lengths to find GCD.
- How is subtraction replaced with modulo in the algorithm. Why GCD of two numbers is same as GCD of one of the numbers and their modulo?
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