Willaim's right about the compressor, on leads. And also that it's all amp distortion. But with the zoom, just start with high gain and roughly neutral EQ, and then tweak the knobs until it sounds close.
Ideally, you should be dialing in a sound that inspires you to play better. Syn's gear only sounds like Syn's tone when Syn is playing through it. Even Papa Gates doesn't sound anything like Syn playing Syn's guitar through Syn's rig.