On my Nexus 7:
Chrome v18 - 45MB
Firefox v15 - 20MB
Dolphin v8 - 8MB
If you are on a PC, launch a couple of different browsers, and from Chrome, do chrome://memory-redirect/
It lists memory used by the various browsers. In my case, MS IE v8.0 had the smallest memory footprint.
Just a note, in the Chrome browser cut and paste > chrome://memory-redirect/ <. Nice find by the way Natey2:hail: