In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted . For example, the GCD of 8 and 12 is 4, that is, . In the name "greatest common divisor", the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), etc. Historically, other names for the same concept have included greatest common measure. This notion can be extended to polynomials (see Polynomial greatest common divisor) and other commutative rings (see below). (Wikipedia).
World's Most Powerful Visible Diode Laser
"The NUBM44 Laser Diode" The World's Most Powerful
From playlist Lasers
Deepest Mandelbrot Zoom Ever! 10^1502
I now hold the world record.
From playlist Mandelbrot Set Videos
From playlist the absolute best of stereolab
From playlist the absolute best of stereolab
My favourite track from "Fab Four Suture"
From playlist the absolute best of stereolab
Introduction to Number Theory, Part 2: Greatest Common Divisors
The second video in a series about elementary number theory. We define the greatest common divisor of two numbers, and prove a useful theorem.
From playlist Introduction to Number Theory
Introduction to number theory lecture 4. More on Euclid's algorithm
This lecture is part of my Berkeley math 115 course "Introduction to number theory" We discuss how to solve linear equations in integers using Euclid's algorithm. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 The textb
From playlist Introduction to number theory (Berkeley Math 115)
Theory of numbers: Euclid's algorithm
This lecture is part of an online undergraduate course on the theory of numbers. We describe several algorithms for finding the greatest common divisor of two numbers. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
From playlist Theory of numbers
Lecture 6 - Divisibility and Primes
This is Lecture 6 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2006.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Relatively Prime Fibonacci Numbers
Today we solve a number theory problem involving Fibonacci numbers and the Fibonacci sequence! We will prove that consecutive Fibonacci numbers are relatively prime (also called coprime or mutual primes), this means their greatest common divisor is 1. We prove this using induction and the
From playlist Coffee Time Math with Wrath of Math
Introduction to number theory lecture 3: Divisibility and Euclid's algorithms.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" The lecture covers basic properties of divisibility, and Euclid's algorithm for finding greatest common divisors. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EF
From playlist Introduction to number theory (Berkeley Math 115)
Discrete Math - 4.3.2 Greatest Common Divisors and Least Common Multiples
Finding the greatest common divisor and least common multiple using the method of primes. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Coding Challenge 161: Estimating π from Random Numbers with Euclid's Algorithm
🥧 Happy Pi Day 2021! This year I estimate the digits of π with random numbers and the probability of two integers being co-prime. https://thecodingtrain.com/CodingChallenges/161-pi-from-random.html 🎥 Matt Parker's Generating π from 1,000 random numbers: https://youtu.be/RZBhSi_PwHU 🎶 Pi
From playlist Coding Challenges
BM10: Divisibility Properties of the Integers
Basic Methods: We develop basic properties of the integers, with a focus on divisibility. Main results include Bezout's identity, unique factorization of integers into primes, and the definition of modular integers.
From playlist Math Major Basics
Greatest common factor exercise | Factors and multiples | Pre-Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-gcf/v/greatest-common-divisor-factor-exercise Find the biggest number that will divide into the given
From playlist Factors and multiples | Pre-Algebra | Khan Academy