# Denominator

## De*nom"i*na`tor

(?), n. [Cf. F.*dnominateur*.] 1. One who, or that which, gives a name; origin or source of a name.

[1913 Webster]

This opinion that Aram . . . was the father anddenominationof 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]

Thus, in , 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]

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]

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Wed 12th December 2018