Skip to main content
common divisor

common divisor

3.9
A number that divides two or more whole numbers leaving nothing left
  • noun
  • /ˈkɑːmən dɪˈvaɪzər/
  • Specialized
translation icon : divisor común
  • When calculating the common divisor of multiple integers, it is advisable to start with their factors.

Examples

  • To find the greatest common divisor of 12 and 15, we can use prime factorization.

  • So that means that there is no common divisor between N and this, except for one of course.

  • We want the greatest common divisor to be to be one.

  • So if we take the greatest common divisor of the orders, we get one.

  • The common divisor of two numbers helps simplify fractions in mathematics.

Synonyms

common factor
vscommon divisor
  • Specialized
1 2.7

A number that divides two or more numbers exactly

refers specifically to integers rather than to general numbers
common measure
vscommon divisor
  • Specialized
5.2

A number that divides two or more numbers exactly with no remainder

is used for integers specifically rather than for general numbers

Surface Forms

Morphology

common + divisor

The meaning is directly compositional: 'common' = shared among items and 'divisor' = a number that divides without remainder, so a 'common divisor' is plainly a divisor shared by two or more integers. This transparent noun + noun composition follows regular English and cross-linguistic logic, so a B1 learner who knows both constituents can readily infer the term's meaning.

Etymology

Common divisor comes from a simple image: imagine two cakes and one knife that cuts both into equal pieces, where the divisor is like the knife that 'divides' a number into exact parts and common means the same knife works for both. So a common divisor is a number that 'divides' two or more numbers with 'no remainder'.