Euclid's algorithm

As explained in Modern C

Euclid's algorithm is an algorithm for computing the greatest common divisor of two integers by repeatedly applying remainder operations.

How Modern C covers it

How deep it goes

Explains the gcd definition, recurrence, preconditions, base case, and recursive C implementation, while deferring detailed assert treatment.

Examples

Uses gcd2(18, 30), a recursive call diagram, and short C listings as concrete demonstrations.

What it assumes

Assumes integers, divisibility, modulus, and function calls while teaching the gcd recurrence and recursive function model.

What you can do after

Build it from scratch as a recursive C function with explicit argument checks, a zero base case, and remainder-based recursion.

How it connects

Connects the algorithm to recursion, function calls, modulus, preconditions, and assertions.

liveBookmanning.com

Read Modern C on liveBook Get the book at manning.com

Also explained in

• 

  liveBookmanning.com
  Elliptic Curve Cryptography for DevelopersThe Euclidean algorithm computes the greatest common divisor of two elements by repeatedly replacing a pair with the divisor and remainder.
• 

  liveBookmanning.com
  Modern C, Third EditionEuclid's algorithm is an algorithm for computing the greatest common divisor by repeatedly replacing a pair of integers with a smaller equivalent pair.

Compare how 3 books explain Euclid's algorithm →

Related concepts

• greatest common divisorproduces · A greatest common divisor is a common divisor maximal under divisibility, conventionally selected as positive for integers or monic for polynomials.
• algorithmkind of · An algorithm is a finite, precisely specified procedure for performing a computation, transforming inputs into outputs, or solving a problem.
• polynomial divisionimplements · Polynomial division expresses a dividend as a divisor multiplied by a quotient plus a remainder of lower degree than the divisor.
• mpz_invertused by · mpz_invert is a GMP function that computes a modular multiplicative inverse when one exists.
• polynomial functionconfigured by · A polynomial function is a function expressible as a finite sum of constant multiples of nonnegative integer powers of one or more variables.

This explainer was generated by Manning's knowledge graph from the text of Modern C. The section links point to the parts of the book it draws on.