Definition of Greatest common divisor

1. Noun. The largest integer that divides without remainder into a set of integers.




Definition of Greatest common divisor

1. Noun. The '''greatest common divisor''' of a set is the largest positive integer or polynomial that divides each of the numbers in the set without remainder. ¹

¹ Source: wiktionary.com

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Literary usage of Greatest common divisor

Below you will find example usage of this term as found in modern and/or classical literature:

1. Elements of Geometry by Adrien Marie Legendre (1825)
"They are in general to be sought by a method analogous to that, which is given in arithmetic for finding the greatest common divisor of two numbers. ..."

2. New University Arithmetic: Embracing the Science of Numbers, and Their by Charles Davies (1856)
"THE greatest common divisor of two or more numbers is the greatest number that will divide each of them without a remainder; hence, it is their greatest ..."

3. Elements of Algebra by William Smyth (1836)
"The research for the greatest common divisor of two polynomials admits, in certain cases, ... Let it be proposed to find the greatest common divisor ..."

4. Introduction to The National Arithmetic: On the Inductive System Combining by Benjamin Greenleaf (1874)
"To find the greatest common divisor of two or more fractions. Ex. 1. ... Now, since 20, 30, and 36 are forty-fifths, their greatest common divisor is not 2, ..."

5. Robinson's Progressive Practical Arithmetic: Containing the Theory of by Horatio Nelson Robinson, Daniel W. Fish, Ivison, Blakeman, Taylor & Co (1879)
"The greatest common divisor of two or more numbers is the greatest number that will exactly divide each of them. Numbers prime to each other are such as ..."

6. The Philosophy of Arithmetic as Developed from the Three Fundamental by Edward Brooks (1880)
"THE greatest common divisor. A DIVISOR of a number is a number which will exactly ... The greatest common divisor of several numbers is the greatest divisor ..."

7. Higher Arithmetic, Or, the Science and Application of Numbers: Combining the by James Bates Thomson (1847)
"What is the greatest common divisor of 35 and 50 ? Operation. Dividing 50 by 35, the remainder is 15, 35)50(1 then dividing 35 (the preceding divisor) by 35 ..."

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