Google Chrome battery drain iOS & Android?

Has anyone experienced unusual battery drain on their phones while having Chrome installed? I have used Chrome on both my GNex and my iPhone 5 and have experienced heavy battery drain with both. Even while not using the app, it seems to be running down my battery somehow. I've tried not signing in to chrome on my iPhone so that it wont sync across devices, but even that seems to drain. Anyone? It's really unfortunate if this is the case because I love the browser on my iPhone.