What methods are you using? The only two methods I'm accustomed to are lifting and pushing. I can understand pushing is traction-dependent, but lifting is not, except theory and real-world applications don't always mesh. That said, my limited knowledge might be more or less expansive than yours and "common sense" and "common knowledge" never really applies.
I can squat lift quite a bit of weight, but I've been blessed with strong legs. Because of that, I may not have pursued other avenues of lifting my GS.
Think of mechanical advantage. Can I use a lever or a pulley?