1. He called to her and offered his seat to her.

2. He called out to her and offered his seat to her.

3. He called her and offered his seat to her.
---------------------------
Are they all the same in meaning? Which one is commonly used?

#3 might mean that he called her on his telephone. #s 1 and 2 mean the same thing, that he called out to her vocally, in person, to offer his seat.