There's a total of 2 articles.
Divisibility → Read more...
Let $a,b \in \mathbb{Z}$, we say that $a$ divides $b$, written $a \given b$, if there’s an integer $n$ so that: $b = na$. If $a$ divides $b$ then $b$ is divisible by $a$ and $a$ is a divisor or factor of $b$, also $b$ is called a multiple of $a$.
This article covers the greatest common divisor and how to find it using the euclidean algorithm, the extended euclidean algorithm to find solutions to the equation $ax + by = gcd(a, b)$ where $a, b$ are unknowns.
Extended Euclidean Algorithm → Read more...
The extended euclidean algorithm finds solutions to the equation $ax + by = gcd(a, b)$ where $a, b$ are unknowns. This article covers a few applications of the extended euclidean algorithm like finding the modular multiplicative inverse of a number, and finding solutions for linear congruence equations.