Ok, there are several things to note. 1. Given that you state, that the Harbor Freight is 9"; the 8" chuck would fit 2. Chucks are usually threaded onto the lathe spindle. Typically, the chuck itself is adapted to the spindle with a plate that is bolted onto the back of the chuck. This plate is typically removable. 3. The 8" chuck advertised, does not come with that adapter plate. 4. Grizzly sells those adapter plates. You would need to know the thread size of your spindle. Either measure it or look on the lathe spec sheet. 5. I made my own. machining down a 5 lb cast iron dumbbell weight. Mine adapts the existing plate (already threaded) from my original chuck to the new chuck. That way I did not have to chase any threads. Hope that helps.
By vevor