I realised I didn't suggest ways to work out what is wrong:
1. Is it all the gutters or just one?
2. Go to one that is having the problems.
3. Is it full or rubbish - leaves, other junk? Clean out the gutter - problem probably solved
4. Is there water in the gutter?
- if yes, Is the water in the part where the downpipe is, or a puddle somewhere else in the gutter?
- if the part where the downpipe is, it sounds like you have a blocked downpipe or blocked drains.
- if somewhere else, is there rubbish (leaves...) on the downpipe side of the puddle - if yes clean these out.
- if the puddle is still there, your gutter fall probably needs adjusting, so the water goes down the downpipe.
5. Put a hose down the downpipe and fill it with water. If it fills, you have a blocked downpipe or blocked drains.
6. Isolate a section of the gutter where the problem is (put damp towels at each end of this section so it holds water) - the smaller the better. Fill this section of gutter. Which side does the water go over - the house side or the garden side? If it is the house side, your gutter needs to slant slightly out, so it goes on the garden side.