phrasal verb 'go over', 'check out', 'look over'

[eggcracker]

I saw the phrasal verb 'go over' is explained like this:
Meaning: If you go over something, you examine or check it very carefully, often to make sure it does not have any faults or mistakes.
"Could you just go over these figures with me?"

The below two look similar to the above sentence. I think there's slight differences between 'go over', 'check out', and 'look over'. Would you please explain the phrasal verbs used in these three sentences?

"Could you just check out these figures with me?"
"Could you just look over these figures with me?"

 

[Tdol]

Check out doesn't work for me. I'd check out a new restaurant- go and see what it's like. Look over is not as thorough as go over IMO- it's more of a quick check.

 

[emsr2d2]

I would use "check over", not "check out" in that context.