Too big generally means your turn down (clockwise) the die. Your issue could very well be that you need a small base die. If you are shooting military brass that you bought online, chances are they are shot out of a machine gun or belt fed weapon and that punishes the brass and causes them to expand more than usual. A small base die is the only way to size it down enough to chamber.
Also, there are different types of .308 chambers. For example, my JP barrel on my LR-308 is a "match" chamber, meaning there is less "slop" in the dimensions for the case and is held to tighter tolerances, which means the ammo I feed it also needs to be made to tighter tolerances. Some factory rifles are chambered with a reamer that is made with a little looser dimensions so a lot of different types of ammo can be used.
Also, there are different types of .308 chambers. For example, my JP barrel on my LR-308 is a "match" chamber, meaning there is less "slop" in the dimensions for the case and is held to tighter tolerances, which means the ammo I feed it also needs to be made to tighter tolerances. Some factory rifles are chambered with a reamer that is made with a little looser dimensions so a lot of different types of ammo can be used.


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