How Did Watchmakers Make Precision Gears?

The first pocket watches were made by a Peter Heinlein, of Nuremburg, Germany, in the 1500’s. They were called “Nuremburg Eggs”, and they were about the size of a large egg. My question: how did these early watchmakers make the precision gear wheels, long before the invention of the precision lathe (ca 1750)? Were these early watches at all accurate? I have a few antique pocket watches (from the 1880’s)and the workmanship in them is absolutely amazing! But I can’t imagine how difficult it must have been to make tiny gears back 500 years ago-were they manually filed down tofit?

One take on it:

From http://www.love-watches.com/Invention-Watch.htm

Minute hands didn’t appear commonly until 1700 or so (that article mentions their occasional use a century before then). Very probably, that was about when watchmakers started producing mechanisms that were reliable enough to make a minute reading worthwile.