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greatest common divisor

noun

Simple meaning

The largest integer that divides without remainder into a set of integers.

Pronunciation

Say it like this:

graytuhstkahmuhndihvyzer

Say the bold part a little louder.

US device voice
IPA pronunciation (US)

ˈɡɹeɪtəstkɑməndɪvaɪzɚ

This word is pronounced essentially the same in American and British English, so one transcription covers both.

IPA (International Phonetic Alphabet) is a standard way of writing speech sounds.

Word Review

Definition

Everyday modern meanings first, grouped by part of speech.

noun

  1. arithmeticnumber theory

    The largest integer that divides without remainder into a set of integers

  2. arithmeticnumber theory

    The largest positive integer (respectively polynomial, element of a given ring) that is a divisor of each of a given set of integers (respectively polynomials, elements of a given ring).

Word Aura™

How this word commonly comes across.

This meaning: The largest integer that divides without remainder into a set of integers

Used this way, greatest common divisor is a specialist word that usually carries little praise or criticism of its own. This is a mathematical use: it is defined precisely and belongs to working with figures and calculations rather than to ordinary conversation.

Emotional tone
Neutral
Formality
Specialist/technical
Intensity
Not strongly marked
How common
Specialized
Connotation
Clinical and technical
Usage feel
Technical and specialized

Where it naturally appears

  • Mathematics
  • Geometry
  • Academic writing
  • Education/classroom

Usage note

In general conversation this sense usually needs explaining — outside its field, people reach for a plainer word.

Word Aura describes common impressions, not a measurement. Tone changes with sentence, speaker, relationship and situation.

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Dictionary data from Wiktionary via the Free Dictionary API. Simple meanings, combinations and word intelligence are built from verified reference data, no AI is used to load this page.