There is more too it than just broken console. In reality we never will know the exacts when there is also the casual gamer who may buy 1 game.
Other factors:
PS3 = bluray player for lots of people. It was even marketed that way and given away as one if you purchased a HD TV. Also FIFA game box.
360 = media player / NFL game box.
Then you also got hardcore collectors who buy every limited edition console they can. i.e. I have about 6 3DS consoles atm. I know someone who is more hardcore and bought about 25 from across the world.
My guess is games like GTA, and console exclusive sales wise make up about 40-60% of the active core gaming base. So if you 2x to 3x those sales you can get a rough idea of actual gamers.
Hell look at this forum where people talk about number of games they own. Most on here own 40+ games. Some as high as 400+ games.
Sales on this site indicate 833million games sold on PS3 for the 83million consoles. So that is an average of approx 10 per user. Now if most CORE games are as high as they indicate, then clearly there is a lot of consoles out there that are not used primarily as gaming machines to get that average down to 10.
