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The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
Bharata Muni also expresses knowledge of the sequence in the Natya Shastra (c. 100 BC–c. 350 AD). [4] [3] However, the clearest exposition of the sequence arises in the work of Virahanka (c. 700 AD), whose own work is lost, but is available in a quotation by Gopala (c. 1135): [11] Variations of two earlier meters [is the variation] ...
Visualisation of using the binary GCD algorithm to find the greatest common divisor (GCD) of 36 and 24. Thus, the GCD is 2 2 × 3 = 12. The binary GCD algorithm , also known as Stein's algorithm or the binary Euclidean algorithm , [ 1 ] [ 2 ] is an algorithm that computes the greatest common divisor (GCD) of two nonnegative integers.
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Synonyms for GCD include greatest common factor (GCF), highest common factor (HCF), highest common divisor (HCD), and greatest common measure (GCM). The greatest common divisor is often written as gcd( a , b ) or, more simply, as ( a , b ) , [ 3 ] although the latter notation is ambiguous, also used for concepts such as an ideal in the ring of ...
GM results top Wall Street targets, boosted by gas-powered trucks and SUVs DETROIT (Reuters) -General Motors on Tuesday posted fourth-quarter 2024 results and a 2025 earnings forecast ahead of Wall Street expectations as the U.S. automaker continued t…
Brenda Lee also holds the record span between first and most recent No. 1 on the Hot 100 over the longest period of time: 63 years, five months, two weeks, and five days dating to her first week at No. 1 on the chart dated July 18, 1960, with "I'm Sorry" to her most recent No. 1, "Rockin' Around the Christmas Tree", which was most recently at ...