common divisor

common divisor
a number that is a submultiple of all the numbers of a given set. Also called common factor.
[1840-50]

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Universalium. 2010.

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  • Common divisor — Common Com mon, a. [Compar. {Commoner}; superl. {Commonest}.] [OE. commun, comon, OF. comun, F. commun, fr. L. communis; com + munis ready to be of service; cf. Skr. mi to make fast, set up, build, Goth. gamains common, G. gemein, and E. mean low …   The Collaborative International Dictionary of English

  • Common divisor — Divisor Di*vi sor, n. [L., fr. dividere. See {Divide}.] (Math.) The number by which the dividend is divided. [1913 Webster] {Common divisor}. (Math.) See under {Common}, a. [1913 Webster] …   The Collaborative International Dictionary of English

  • common divisor — noun an integer that divides two (or more) other integers evenly • Syn: ↑common factor, ↑common measure • Hypernyms: ↑divisor, ↑factor • Hyponyms: ↑greatest common divisor, ↑ …   Useful english dictionary

  • common divisor — noun Date: 1674 a number or expression that divides two or more numbers or expressions without remainder called also common factor …   New Collegiate Dictionary

  • common divisor — com′mon divi′sor n. math. a number that is a submultiple of all the numbers of a given set. Also called com′mon fac′tor • Etymology: 1840–50 …   From formal English to slang

  • Greatest common divisor — In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), or highest common factor (hcf), of two or more non zero integers, is the largest positive integer that divides the numbers without a remainder. For …   Wikipedia

  • Greatest common divisor of two polynomials — Informally, the greatest common divisor (GCD) of two polynomials p ( x ) and q ( x ) is the biggest polynomial that divides evenly into both p ( x ) and q ( x ). The definition is modeled on the concept of the greatest common divisor of two… …   Wikipedia

  • greatest common divisor — noun the largest integer that divides without remainder into a set of integers • Syn: ↑greatest common factor, ↑highest common factor • Hypernyms: ↑common divisor, ↑common factor, ↑common measure * * * noun …   Useful english dictionary

  • Lowest common divisor — The lowest common divisor is a meaningless term, often mistakingly usen when one actually wishes to refer to either* the least common multiple of a set of numbers, or in particular, the lowest common denominator of a set of vulgar fractions. *… …   Wikipedia

  • greatest common divisor — n. the number or quantity that is the largest common factor of a given set of numbers or quantities [12 is the greatest common divisor of 48, 60, and 96]: also greatest common factor …   English World dictionary

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