Originally Posted by SuperCub
Here's an older 760 at the LGS. Looks like a factory left hand stock. Never seen or heard of that variation.
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https://thegundealer.net/product/remington-gamemaster-760-30-06spg-22bbl/

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That rifle is a 760 BDL that Remington made in 270, 308, and 30-06 from 1966 thru 1980(?).

They differed from the usual 760s in that they had pressed basket-weave style "checkering", a raised left or right check-piece, and a "step" at the top/rear of the receiver.

I own or have owned them in 270 and 30-06, but don't recall having seen any chambered in 308.