Because i am not a big fan of Ubuntu’s Unity, i am using Gnome desktop environment in Ubuntu 13.10. I have a shortcut for Chromium, Firefox etc in the Gnome launcher.
But when i tried to remove the launcher from there. I was not able to remove, when i right click on the icon i only saw Launch and Properties option.
Then finally i was able to remove it. To remove the icon from Gnome launcher just hold on Windows + Alt key then right click on the launcher icon. Now you will see Move and Remove from Panel option.
Click on Remove from the Panel then remove the launcher which you do not prefer to keep.