30 Hurricane squadrons were credited with 655 victories, at 22.5 per squadron.
19 Spitfire squadrons were credited with 530 victories, at 28 per Squadron.
Who shot down most bombers or fighters would be a labour of love for someone trawling through a good reference like The Battle of Britain Then and Now, but it won't be me.
It is true that the intention that Hurricane squadrons should engage the bombers and close escort while the Spitfire squadrons engaged the higher flying escorts was expressed on several occasions. In reality it proved a policy impossible to implement. The state of a squadron's readiness and its geographical position relative to an incoming raid always over rode considerations of the type it operated.