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.

Similar
Bézout's lemma
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

proper noun
  1. mathematicsA 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 & antonyms

proper nounA 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.

Similar
Bézout's lemma
Also see
bézout's lemma
Cite this entry
APA

Bézout's identity. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/B%C3%A9zout's%20identity

MLA

“Bézout's identity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/B%C3%A9zout's%20identity. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bézout's identity,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/B%C3%A9zout's%20identity.

Source: Bézout's identity on Wiktionary, CC BY-SA 4.0.