Lay your granite tiles and let the grout dry. Edging your tiles once they are in place makes it easier to round the tile edges consistently.
Wrap coarse carbide sandpaper around a wood block, stapling it to the wood to keep it in place. If you have a masonry rubbing stone, skip this step.
Hold the rubbing stone or sandpaper block at an angle to the edge of a leftover piece of granite tile and rub the tool along edge of the tile until it is rounded. Experiment until you have found an angle of rounding you like.
Round the edges of the installed granite tiles to match the practice tile. Use long, even strokes across multiple tiles to create a consistent edge. If you are using sandpaper, switch to fine-grade carbide sandpaper when you are almost finished to create a smooth edge.