Why does the Euclidean algorithm for finding GCD work?
Oct 3, 2019 · why the Euclidean algorithm for finding the GCD of two numbers always works by using a standard argument in number theory: showing that a problem is equivalent to the …
RSA and extended euclidian algorithm - Mathematics Stack …
Apr 9, 2015 · The private key is thus $29$. This arguments is called "Extended Euclidean Algorithm" and works in general, but maybe it is worth to see at least once in a particular case.
Number of steps in Euclidean algorithm - Mathematics Stack …
Mar 13, 2019 · Number of steps in Euclidean algorithm Ask Question Asked 6 years, 8 months ago Modified 6 years, 8 months ago
Method of solving extended Euclidean algorithm for three numbers?
I already got idea of solving gcd with three numbers. But I am wondering how to solve the extended Euclidean algorithm with three, such as: 47x + 64y + 70z = 1 Could anyone give me …
What is the difference between Euclid's division lemma and …
Sep 1, 2016 · Euclid's Division Algorithm is an algorithm to find the greatest common divisor ($\gcd$) of two natural numbers facilitated by repeated use of the Division Lemma until in the …
Extended Euclidean Algorithm: backward and forward form
Thus we see that using the extended Euclidean algorithm to compute the gcd Bezout equation yields one method of computing modular inverses (and fractions). See here & here for more …
Why are Fibonacci numbers bad for Euclid's Algorithm and how to …
Oct 18, 2017 · I want to ask two things. The first is why are consecutive Fibonacci numbers the worst case for Euclid's algorithm? I keep seeing people say it in passing and I understand that …
number theory - What's the difference between the euclidean …
Mar 19, 2014 · What does the euclidean algorithm compute, and what problems is the extended euclidean algorithm used for? Can someone please show how they each differ on the pair …
Least common multiple in Euclidean algorithm
Aug 9, 2020 · I want to prove that in last step of Euclidean algorithm we have lcm representation (by last step I mean the step with zero representation as $0 = x * E_0 + y * E_1$, where we …
Euclidean Algorithm for polynomials - Mathematics Stack Exchange
Oct 14, 2017 · I know how to use the extended euclidean algorithm for finding the GCD of integers but not polynomials. I can't really find any good explanations of it online. The question …