this will be my first year hunting black bears and i have a 243, 270, 300 savage and a 35rem. for big game.... will the 270 be large enough shooting 140 grain failsafe's? or do you think i should use the 300 or 35?

bears here in the area i hunt can be very large. i have seen 2 that will tip the scales at around 6 hundered pounds while i was out scotting. and i have seen several between 200-300 pounders

what would you take out 270 or?