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  1. ユークリッドの互除法 - Wikipedia
    ユークリッドの互除法(ユークリッドのごじょほう、英: Euclidean Algorithm)は、2 つの 自然数の最大公約数を求める手法の一つである。 2 つの自然数 a, b (a ≧ b) について 、a の b による剰余を r とすると、 a と b との最大公約数は b と r との最大公約数に ...ユークリッドの互除法
  2. Euclidean algorithm - Wikipedia
    In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two numbers, the largest number that divides both of them without leaving a remainder. It is named after ...
  3. The Euclidean Algorithm (article) | Khan Academy
    Read and learn for free about the following article: The Euclidean Algorithm.
  4. Euclidean Algorithm -- from Wolfram MathWorld
    There are even principal rings which are not Euclidean but where the equivalent of the Euclidean algorithm can be defined. The algorithm for rational numbers was given in Book VII of Euclid's Elements. The algorithm for reals appeared in ... > ... > Greatest Common Divisor
  5. The Euclidean Algorithm (GCD or GCF) - YouTube
    Here is the Euclidean Algorithm! A great way to find the gcf/gcd of two numbers. Thank you, Euclid.
  6. Euclidean algorithm - Rutgers Math Department
    The Euclidean algorithm is a way to find the greatest common divisor of two positive integers, a and b. ... Minnesota has a Visible Euclidean algorithm page where you can specify further examples and see the algorithm work.
  7. Extended Euclidean Algorithm
    The Extended Euclidean Algorithm. As we know from grade school, when we divide one integer by another (nonzero) integer we get an integer quotient (the " answer") plus a remainder (generally a rational number). For instance, ...
  8. Euclid's Algorithm - Interactive Mathematics Miscellany and Puzzles
    Euclid's Algorithm appears as the solution to the Proposition VII.2 in the Element's: Given two numbers not prime to one another, to find their greatest common measure.
  9. Number Theory - Euclid's Algorithm
    Amazingly, a few simple observations lead to a far superior method: Euclid's algorithm (also known as the Euclidean algorithm). First, if d divides a and d divides b, then d divides their sum. Similarly, d must also divide their difference, a - b, ...
  10. 3.3 The Euclidean Algorithm
    Suppose a and b are integers, not both zero. The greatest common divisor (gcd, for short) of a and b, written (a,b) or gcd(a,b), is the largest positive integer that divides both a and b. We will be concerned almost exclusively with the case where ...
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