A 50 amp cutter will pull under but close to 30AMP when you power it and will run on 30amps without a problem. The output voltage is not 220 volts at the torch, it is rectified and stepped down. There are details on the back of the unit, should have an Max I (max current)
On the gauge of the wire, there are plenty of tables on the internet. But the length does affect the gauge as well. Long run, lower gauge.
It is always better to be safe than sorry. Though I know things are tight on most right now. If you are in doubt, hire a professional electrician.