greatest common denominator
Denominator De*nom"i*na`tor, n. [Cf. F. d['e]nominateur.] 1. One who, or that which, gives a name; origin or source of a name. [1913 Webster]

This opinion that Aram . . . was the father and denomination of the Syrians in general. --Sir W. Raleigh. [1913 Webster]

2. (Arith.) That number placed below the line in common fractions which shows into how many parts the integer or unit is divided. [1913 Webster]

Note: Thus, in 3/5, 5 is the denominator, showing that the integer is divided into five parts; and the numerator, 3, shows how many parts are taken. [1913 Webster]

3. (Alg.) That part of any expression under a fractional form which is situated below the horizontal line signifying division. [1913 Webster]

Note: In this sense, the denominator is not necessarily a number, but may be any expression, either positive or negative, real or imaginary. --Davies & Peck (Math. Dict.) [1913 Webster]

{common denominator} a number which can divide either of two or more other numbers without leaving a remainder in any of the divisions; as, 2 and 4 are common denominators of 12 and 28..

{greatest common denominator} the largest {common denominator} of two or more numbers; as, 9 is the greatest common denominator of 18 and 27.. [PJC]

The Collaborative International Dictionary of English. 2000.

### Look at other dictionaries:

• Greatest common denominator — The greatest common denominator is a meaningless term, sometimes mistakingly used when one actually wishes to refer to either* the lowest common denominator, which is the least common multiple of the denominators of a set of vulgar fractions. *… …   Wikipedia

• common denominator — Denominator De*nom i*na tor, n. [Cf. F. d[ e]nominateur.] 1. One who, or that which, gives a name; origin or source of a name. [1913 Webster] This opinion that Aram . . . was the father and denomination of the Syrians in general. Sir W. Raleigh.… …   The Collaborative International Dictionary of English

• 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

• Lowest common denominator — This article is about mathematics. For computers, see Lowest common denominator (computers). In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of… …   Wikipedia

• lowest common denominator — noun 1. : the lowest common multiple of two or more denominators 2. : something (as a quality or level of taste) that typifies or is common, acceptable, or comprehensible to all or the greatest possible number of individuals the committee system… …   Useful english dictionary

• Denominator — De*nom i*na tor, n. [Cf. F. d[ e]nominateur.] 1. One who, or that which, gives a name; origin or source of a name. [1913 Webster] This opinion that Aram . . . was the father and denomination of the Syrians in general. Sir W. Raleigh. [1913… …   The Collaborative International Dictionary of English

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• Least common multiple — In arithmetic and number theory, the least common multiple (also called the lowest common multiple or smallest common multiple) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is a multiple of both a… …   Wikipedia

• 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

• Wheel and spoke model — The Wheel And Spoke Model is a sequentially parallel software development model. It is essentially a modification of the spiral model that is designed to work with smaller initial teams, which then scale upwards and build value faster. It is best …   Wikipedia