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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.

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.

- 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...

- 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...

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