Attack them until they die and heal when your health is low.

You'll really win once you stop playing Final Fantasy 8.

Attack them until they die and heal when your health is low.

general tips to do well in FF8, really you shouldn't have any major problems if you're doing these things:
 
-getting all the GFs 
-drawing lots of magic (it takes time but it's worth it in the end)
-learning magic refine abilities
-refining powerful magic from items
-junctioning powerful magic to your character's stats. 
 
if they're dealing lots of damage and you're dieing, maybe you probably don't have enough health. In which case, buy a bunch of Tents, refine them using Life Mag Refine into Curagas, junction the curagas to your characters' HP. This should give you more than enough health. I'm sure you know how to experiment with junctioning, junctioning is what can make this game really really easy if you know what to do.  
 
I imagine that there are tonnes of guides for FF8 on gamefaqs or whatever, giantbomb probably isn't the best place to ask for this. But since you asked here's some tips I can give you off the top of my head for the fights against Fujin and Raijin. For Fujin + Raijin cast protect on your party members. You may want to Blind Raijin too. 
 
This guy did an in-depth video walkthrough/playthrough of the game on youtube, if you don't like reading I guess you could search through the videos and go to the place where you're stuck so he can give you some tips. 
 
I hope you enjoy the game!

You'll really win once you stop playing Final Fantasy 8.

same way you win in every other final fantasy battle: hold down the x button