GCD
GCD The three letter acronym GCD may refer to: Gongchandang, or the Communist ...
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GCD domain
GCD domain In mathematics, an integral domain is called a GCD domain if any two non-zero elements have a greatest common divisor (GCD). Properties A unique factorization domain is a GCD domain, but the converse is not true ... if and only if it is a GCD domain. A Bézout domain is always ...
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Binary GCD algorithm
Binary GCD algorithm The binary GCD algorithm is an algorithm which computes the ... algorithm reduces the problem of finding the GCD by repeatedly applying these identities: If u = 0, then gcd(u,v) = v, since everything divides zero ... is even and v is even, then GCD(u,v) = 2�GCD(u / 2, v / ...
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Talk:Binary GCD algorithm
Talk:Binary GCD algorithm ARM implementation The ARM implementation lacks ... have some optimizations to suggest: remove_twos_loop optimization gcd: @ Arguments arrive in registers r0 and r1 ... r1 still even, keep looping optimization 1 gcd: @ Arguments arrive in registers r0 and r1 ... r1 still even, keep looping optimization 2 gcd: @ Arguments arrive in registers r0 and r1 ... keep looping gcd_loop optimization gcd_loop: @ Loop finding gcd of r0, r1 not both even ...
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Greatest common divisor
... divisor In mathematics, the greatest common divisor (gcd), sometimes known as the greatest common factor ... of a and b is written as gcd(a, b), or sometimes simply as (a, b). For example, gcd(12, 18) = 6, gcd(−4, 14) = 2 and gcd(5, 0) = 5. Two numbers are ...
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Euclidean algorithm
... algorithm to determine the greatest common divisor (gcd) of two integers. Its major significance is ... integers, it may be used to compute gcd of elements of any Euclidean domain, for ... is zero. If yes, a is the gcd. If not, repeat the process using b ... recursion such as the following pseudocode: function gcd(a, b) if b = 0 return a else return gcd(b, a mod b) The original ...
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Pollard's p-1 algorithm
... and because p divides n this means gcd(a M − 1, n) > 1. Therefore if gcd(a M − 1, n) ≠ n, then the gcd is a non-trivial factor of n ... − 1 is not B-powersmooth. Now, gcd(a M − 1, n) yields a ... q − 1 is B-powersmooth, the gcd may yield a trivial factor because ...
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Talk:Greatest common divisor
... to university, and they call it a GCD... I think GCD is the proper maths term, and HCF ... it would be easier to understand than GCD... -- SJK When analyzing the runtime of Euclid ... Algorithm (with subtraction). --Taw What's this GCD algorithm called ? --Taw def bgcd(a,b ... add a check for it (what is GCD(0,n) and GCD(0,0) ...
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Square-free polynomial
... characteristic 0, only differentiation, polynomial division, and GCD calculation (which can be done using the ... or h, thus $q^k\backslash nmid\backslash$gcd(f,f') and $q^\{k-1\}\backslash mid\backslash$gcd(f,f'). That is, the multiplicity of any irreducible factor in $\backslash$gcd(f,f') is one less than its multiplicity in f, so $\backslash$gcd(f,f') = a_2a_3^2 \cdots a_n^{ ...
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Extended Euclidean algorithm
... used to calculate the greatest common divisor (gcd, or also highest common factor, HCF) of ... and y such that $ax\; +\; by\; =\; \backslash$gcd(a, b). \, (This equation is known ... Euclid's algorithm, consider the computation of gcd(120, 23), which is shown on the ... line(which is 0) indicates that the gcd is 1; that is, 120 and 23 ... coprime; but the more general case of gcd other than 1 also works similarly. ...
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