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Lowest common divisor information


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 of fractions
  • Greatest common divisor, the largest positive integer that divides each of the integers

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Lowest common divisor

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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...

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Greatest common divisor

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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...

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Lowest common factor

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Lowest common factor may refer to the following mathematical terms: Greatest common divisor, also known as the greatest common factor Least common multiple...

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Least common multiple

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In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted...

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Lowest common denominator

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In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the lowest common multiple of the denominators of a set...

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Irreducible fraction

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lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors...

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Euclidean algorithm

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Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers (numbers), the largest number that divides them...

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Cyclic redundancy check

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the polynomial divisor with the bits above it. The bits not above the divisor are simply copied directly below for that step. The divisor is then shifted...

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Factorization

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domains (UFD). Greatest common divisors exist in UFDs, and conversely, every integral domain in which greatest common divisors exist is an UFD. Every principal...

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Fraction

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greatest common divisor of the numerator and the denominator, one gets the equivalent fraction whose numerator and denominator have the lowest absolute...

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Fundamental frequency

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usually abbreviated as f0, indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as f1, the first harmonic...

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Dynamic dispatch

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divide(divisor) # dividend / divisor where the parameters are optional. This is thought of as sending a message named divide with parameter divisor to dividend...

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List of number theory topics

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composite number Even and odd numbers Parity Divisor, aliquot part Greatest common divisor Least common multiple Euclidean algorithm Coprime Euclid's...

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Glossary of arithmetic and diophantine geometry

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the ideal class group or divisor class group for Arakelov divisors. Arakelov divisor An Arakelov divisor (or replete divisor) on a global field is an...

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Finite field

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divisor k of q – 1 such that xk = 1 for every non-zero x in GF(q). As the equation xk = 1 has at most k solutions in any field, q – 1 is the lowest possible...

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Preorder

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and "lowest" refer in the phrases "greatest common divisor" and "lowest common multiple" (except that, for integers, the greatest common divisor is also...

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Miller index

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as in 3 for −3. The integers are usually written in lowest terms, i.e. their greatest common divisor should be 1. Miller indices are also used to designate...

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Squaring the square

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squares do not have a common divisor larger than 1 is called a "Mrs. Perkins's quilt". In other words, the greatest common divisor of all the smaller side...

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Pythagorean triple

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triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1). For example, (3, 4, 5) is a primitive Pythagorean triple...

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7

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is also, therefore, the sum-of-divisors of only 4, its prime index. Furthermore, the smallest number with seven divisors is 64 = 82. The seventh triangular...

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Repeating decimal

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(sequence A006559 in the OEIS) The reason is that 3 is a divisor of 9, 11 is a divisor of 99, 41 is a divisor of 99999, etc. To find the period of 1/p, we can...

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