# Definition of Common divisor. Meaning of Common divisor. Synonyms of Common divisor

Here you will find one or more explanations in English for the word Common divisor. Also in the bottom left of the page several parts of wikipedia pages related to the word Common divisor and, of course, Common divisor synonyms and on the right images related to the word Common divisor.

## Definition of Common divisor

Common divisor
Divisor Di*vi"sor, n. [L., fr. dividere. See Divide.] (Math.) The number by which the dividend is divided. Common divisor. (Math.) See under Common, a.

## Meaning of Common divisor from wikipedia

- In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of...
- In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor...
- In mathematics, a divisor of an integer n {\displaystyle n} , also called a factor of n {\displaystyle n} , is an integer m {\displaystyle m} that may...
- The lowest common divisor is a term often mistakenly used to refer to: Lowest common denominator, the lowest common multiple of the denominators of a set...
- computing the least common multiple to the problem of computing the greatest common divisor (GCD), also known as the greatest common factor: lcm ⁡ ( a ...
- The phrase least common divisor is a confusion of the following two distinct concepts in arithmetic: Least common multiple Greatest common divisor...
- Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two numbers, the largest number that divides both of them without...
- theorem: Bézout's identity — Let a and b be integers with greatest common divisor d. Then, there exist integers x and y such that ax + by = d. More generally...
- the Euclidean algorithm, and computes, in addition to the greatest common divisor of integers a and b, also the coefficients of Bézout's identity, which...
- N(d) of the greatest common divisor of a and b is a common divisor of N(a), N(b), and N(a + b). When the greatest common divisor D of these three integers...