Talk:Greatest common divisor: Difference between revisions

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→‎REXX Version 1: added whitespace.
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The special case of   '''gcd(0,0)'''   is usually defined to be   '''0''',   but some authors consider it to be '''undefined'''.   When implementing the REXX version 1 example,   the first definition (equal to zero) was chosen.   So, for that case,   '''|0|│0│ = 0'''.
 
From the Wikipedia page: http://en.wikipedia.org/wiki/Greatest_common_divisor
 
It is useful to define   '''gcd(0,0) = 0'''   and   '''lcm(0,0) = 0'''   because then the natural numbers become a complete distributive lattice with   '''gcd'''   as the   ''meet''   operation,   and   '''lcm'''   as the   ''join''   operation.
 
-- [[User:Gerard Schildberger|Gerard Schildberger]] 16:10, 17 August 2012 (UTC)
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Cases of zero have been corrected (the GCD subroutine was exiting instead of processing more arguments). The special case of gcd(0,0) can be defined to be 0, or ''undefined''. Zero was choosen. -- [[User:Gerard Schildberger|Gerard Schildberger]] 17:08, 17 August 2012 (UTC)
 
: And, yes, wikipediaWikipedia [[wp:Greatest_common_divisor#Properties|claims]] that gcd is associative. --[[User:Rdm|Rdm]] 17:31, 17 August 2012 (UTC)