Viewed 22k times. Martin Sleziak Konstantin Weitz Konstantin Weitz 1, 2 2 gold badges 9 9 silver badges 11 11 bronze badges. Add a comment. Active Oldest Votes. William Ballinger William Ballinger 3, 1 1 gold badge 14 14 silver badges 23 23 bronze badges. How did you figure this out? Where do mathematicians store such commonly agreed on, but not completely obvious definitions? When did people start defining gcd this way, I assume they didn't when Euclidean algorithm was invented BC?
It would end every dispute, because one could simply refer to that book and consult the definition and case closed. Show 3 more comments. I wasn't racing. Alexander Alexander 4, 14 14 silver badges 36 36 bronze badges. But there are two possibilities how to express that it is greatest common divisor. Martin Sleziak Martin Sleziak Dan Dan 5, 2 2 gold badges 19 19 silver badges 19 19 bronze badges. Marc van Leeuwen Marc van Leeuwen k 6 6 gold badges silver badges bronze badges.
On my keyboard, backtick is the key to the left of 1, and tilde is obtained by holding shift and pressing the hash key which is next to Enter. In general, the location of punctuation characters varies in keyboards used in different countries. Show 2 more comments. Git Gud DanielY DanielY 11 11 silver badges 24 24 bronze badges. William got it right. Sign up or log in Sign up using Google. Sign up using Facebook.
Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. No remainder. Now, why should 8 be the GCD? Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.
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Viewed 40k times. Vafa Khalighi Vafa Khalighi 1, 5 5 gold badges 21 21 silver badges 24 24 bronze badges. Add a comment. Active Oldest Votes. Community Bot 1. Bill Dubuque Bill Dubuque k 36 36 gold badges silver badges bronze badges. Mitch Mitch 8, 2 2 gold badges 33 33 silver badges 67 67 bronze badges. As for commutative monoids, one usually requires them to be cancellative in order to obtain a rich theory. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password.
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