Magnus Carlsen - winning in 7 moves at age 9
Doing a quick search on Magnus Carlsen's quickest win (by number of moves, not time) I found this game from 2000 when Magnus was only 9 years old with a 1323 rating:
One of his lengthiest wins was his game against J. Hammer with 107 moves played in 2009:
His game with the highest number of moves (174) was against A. Shirov in 2010 ending in a draw:
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Cheers, Stefan