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 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]

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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Sun 16th June 2019