common divisor: meaning, definition, pronunciation and examples
lowformal, technical
Quick answer
What does “common divisor” mean?
A whole number that divides exactly into two or more given numbers without leaving a remainder.
Audio
Pronunciation
Definition
Meaning and Definition
A whole number that divides exactly into two or more given numbers without leaving a remainder.
A shared factor or element that serves as a basis for agreement, understanding, or unity in non-mathematical contexts.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or grammatical differences. The concept and term are identical.
Connotations
Neutral, technical. In British educational contexts, 'highest common factor' (HCF) is synonymous with 'greatest common divisor' (GCD).
Frequency
Equally low in general language, but standard and frequent within mathematics education in both regions.
Grammar
How to Use “common divisor” in a Sentence
[Number] and [Number] have a common divisor of [Number].The common divisor for [List of Numbers] is [Number].Vocabulary
Collocations
Usage
Meaning in Context
Business
Rarely used literally. May appear metaphorically in discussions of shared interests or unified strategies.
Academic
Core terminology in pure mathematics (number theory), computer science (algorithms), and secondary school curricula.
Everyday
Very rare. Limited to specific discussions about simplifying fractions or splitting items into equal groups.
Technical
Fundamental concept in cryptography, algorithm design (Euclidean algorithm), and integer arithmetic.
Vocabulary
Synonyms of “common divisor”
Strong
Neutral
Vocabulary
Antonyms of “common divisor”
Watch out
Common Mistakes When Using “common divisor”
- Confusing 'divisor' with 'dividend'.
- Using 'common denominator' (related to fractions) instead of 'common divisor' (related to whole-number division).
- Forgetting that 1 is always a common divisor.
FAQ
Frequently Asked Questions
Yes, 1 divides every integer exactly, so it is technically a common divisor of any set of integers, though it's often called the 'trivial' common divisor.
A 'common divisor' is any number that divides the given numbers. The 'greatest common divisor' is the largest of all these common divisors.
No. By definition, a divisor of a number cannot be greater than the number itself (except when the number is 0, which is a special case).
It is used metaphorically in discussions of politics, sociology, or business to denote a fundamental shared element that can unify different groups or ideas.
A whole number that divides exactly into two or more given numbers without leaving a remainder.
Common divisor is usually formal, technical in register.
Common divisor: in British English it is pronounced /ˈkɒm.ən dɪˈvaɪ.zə/, and in American English it is pronounced /ˈkɑː.mən dɪˈvaɪ.zɚ/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “Find common ground (conceptual metaphor)”
Learning
Memory Aids
Mnemonic
Think of a 'common divisor' as a cookie cutter (divisor) that can neatly cut two different batches of dough (the numbers) into whole pieces without any crumbs (remainder).
Conceptual Metaphor
A SHARED UNIT OF MEASUREMENT IS A COMMON DIVISOR (e.g., 'Finding a common divisor in our opinions helped us agree.').
Practice
Quiz
In a metaphorical sense, a 'common divisor' in a debate is most similar to: