They will fit in your chamber, but the difference between a 7.62x51 nato and 308 is the length of the throat. The nato has a longer throat, which reduces pressure; it's not safe to fire nato ammo in a 308 chamber but you can shoot 308 in the nato's. I don't have a 308 chambered rifle, but I fired 5.56 nato ammo in my 223 chambered ar15 without issue; but I wouldn't make a habit of it.
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