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...
- 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...
- 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...
- 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...
- several ways to compute least common multiples. The least common multiple can be computed from the greatest common divisor (gcd) with the formula lcm ⁡...
- Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers (numbers), the largest number that divides them...
- phrase least common divisor is a confusion of the following two distinct concepts in arithmetic: Least common multiple Greatest common divisor This disambiguation...
- the Euclidean algorithm, and computes, in addition to the greatest common divisor (gcd) of integers a and b, also the coefficients of Bézout's identity...
- 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. Moreover...
- 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...