Since I have obtained an air-integrated computer I have noticed how a number of things affect my SAC:
-firstly, slow down. When I have dived with more experienced divers they go very very slowly and when I do the same my SAC drops. Also when my buddy has taken his camera and we are going slow for pictures, my SAC drops then too. Most new divers go *way* too fast. I know I used to swim around really fast but there is no need really and you miss a lot of stuff.
-Stay warm. On my second dive of the day in cold water my SAC has always increased as I am in a wetsuit in 12C water so am quite chilled on repetitive dives.
-If you start getting stressed about anything such as equalising, your SAC will probably go up significantly. When I had an ear clearing issue my SAC jumped to 60L/s, so three times what it usually is. So yea, descend slow if you have ear problems, it isn't a race. I'd often use up 30bar just descending to 20L as I found it so stressful equalising. Anyway, after learning more about equalising and also taking Sudafed I have fixed that issue.
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Don't breathe deep IMO (though I am guessing a lot of people would disagree with me). For one thing it means you need better skills in buoyancy, which you might not have as a new diver. Just breathe as normal, like you do on land! Don't think about your breathing really, it should come naturally. Also don't hold your breath or breathe shallow and quick. Apart from the obvious reasons, you can also give yourself a nasty C02 headache holding your breath or breathing too rapidly.
-Do you mess around with your BC often? If you are constantly deflating and inflating, that will contribute a lot to air consumption also.
-Get properly weighted if you aren't already. I am overweighted at the moment so I am sure that is not helping my SAC (about 18L-20L/min which is not good but not terrible). Finally got some smaller weights yesterday so will see how I go next weekend
-Relax! That is the biggest thing as anything that slightly stresses me will mean my breathing rate jumps. Like I've been tangled in a fishing line before, had equalising issues, or I've gotten lost and it always means my breathing rate goes up significantly. I don't feel particularly stressed at the time mentally but obviously it impacts on my breathing. Having an air integrated computer has really helped that as it shows me when my breathing rate has gone up, so I now know the things that trigger an increase in SAC so just remind myself to calm down and relax. So yea, these days my breathing rate is a lot more stable. So yea, even if you feel more relaxed diving like you mentioned, you might have little things that trigger an increase in breathing rate for a few minutes here and there that might cause your gas consumption to increase.
After trying out all the suggestions here and if you still have a high rate compared to your buddies, don't worry about it. It isn't a competition so just use a bigger tank

Good luck!