Word.ws English Dictionary

Bézout's identity

Bézout's identity proper noun: a theorem in the elementary theory of numbers: let a and b be integers, not both zero, and let d be their greatest common divisor. Then there exist integers x and y such that ax + by = d.

Proper noun

Bézout's identity

  1. A theorem in the elementary theory of numbers: let a and b be integers, not both zero, and let d be their greatest common divisor. Then there exist integers x and y such that ax + by = d.
    Synonyms:
    Bézout's lemma

Synonyms of Bézout's identity

Questions about Bézout's identity

What does Bézout's identity mean?
Bézout's identity means a theorem in the elementary theory of numbers: let a and b be integers, not both zero, and let d be their greatest common divisor. Then there exist integers x and y such that ax + by = d.
What part of speech is Bézout's identity?
Bézout's identity is a proper noun.

Words near Bézout's identity in the dictionary

  1. Bézier triangle
  2. Bézier triangles
  3. Béziers
  4. Bézout
  5. Bézout domain
  6. Bézout's identity
  7. Bézout's lemma
  8. Bézout's theorem
  9. bêche de mer
  10. bêche-de-mer
  11. bêches-de-mer

Source and license

Adapted from Wiktionary: Bézout's identity (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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