Any of those are great deer cartridges. If you are hunting elk then you will need atleast a 7mm or 300 win mag. For bear you will need even bigger.
You seriously don't know what you're talking about.
There have been plenty of elk taken with the 3 calibers the OP listed. Bigger is not always better. Shot placement is key when hunting any animal.
To the OP: I would also look into the 7mm-08. It will be good for all that you have listed. Assuming you are talking about Black Bear and not Brown/Grizzly/Kodiak...
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