
Definition of Greatest common factor
1. Noun. The largest integer that divides without remainder into a set of integers.
Generic synonyms: Common Divisor, Common Factor, Common Measure
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Lexicographical Neighbors of Greatest Common Factor
Literary usage of Greatest common factor
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Theory of Numbers by Robert Daniel Carmichael (1914)
"THE greatest common factor OF Two OR MORE INTEGERS Let m and n be two positive
integers such that m is greater than n. Then, according to the fundamental ..."
2. Elements of the Theory of Integers by Joseph Bowden (1903)
"By § 645 the first of these expressions is the greatest common factor of a, ß,
and f. So also is the second. ..."
3. The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by James Alexander McLellan, John Dewey (1905)
"It will now be easy to show that if 222, or 2 times 222, or 3 times 222, be taken
from 851, 222 and this remainder will have for greatest common factor the ..."
4. The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by James Alexander McLellan, John Dewey (1895)
"It will now be easy to show that if 222, or 2 times 222, or 3 times 222, be taken
from 851, 222 and this remainder will have for greatest common factor the ..."
5. New University Arithmetic: Embracing the Science of Numbers, and Their by Charles Davies (1856)
"... DIVISOR of two or more numbers is the greatest number that will divide each
of them without a remainder; hence, it is their greatest common factor. ..."
6. A School Algebra by George Albert Wentworth (1897)
"We will first find the greatest common factor of two arithmetical numbers, and
then show that the same method is used in finding the HCF of two algebraic ..."
7. The Franklin Written Arithmetic: With Examples for Oral Practice by Edwin Pliny Seaver, George Augustus Walton (1881)
"We have seen that 6, the greatest common factor of 18 aud 24, ... The greatest
common factor of any two or more numbers is the product of all the prime ..."
8. The First Steps in Number by George Albert Wentworth, E. M. Reed (1892)
"Six is the greatest common factor of six and twelve. Name all the factors common
to twelve and twentyfour. Which of these common factors is the greatest ..."