I generally carry nipple extractors in the following sizes: 3/8″, 1/2″, 3/4″ and 1″ diameters. Any size past that I’ll use my mini hack saw or even a fine (32 teeth per inch) hacksaw blade to make a couple of cuts, knock out a small piece of pipe and then remove the broken piece. The trick is not to cut into the fitting, which takes a little practice. Check out the video!