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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...

- 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 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...

- respectively, around the star. The least common multiple can be computed from the greatest common divisor (gcd) with the formula lcm ( a , b ) = |...

- 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...

- 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...

- Bézout's identity — Let a and b be integers or polynomials with greatest common divisor d. Then there exist integers or polynomials x and y such that ax + by...

- 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 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...

- respectively, around the star. The least common multiple can be computed from the greatest common divisor (gcd) with the formula lcm ( a , b ) = |...

- 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...

- 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...

- Bézout's identity — Let a and b be integers or polynomials with greatest common divisor d. Then there exist integers or polynomials x and y such that ax + by...

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