When I first got my .243 I was getting about 1 1/2 to 2" and that was after about 80 rounds looking for a brand manufactured ammo, and grain bullet that my rifle liked.
I finally polished the bore, and silicone bedded the forend, and now I'm getting about 3/4" to 1" groups at 100 yards.
Following the steps for accurizing in the FAQ's is the way to go, especially with the .243.