The K6 750 service manual says the MC has a ~19 mm bore while the K8 750 says ~17.5 mm. I'm assuming that the 600's are the same. So you might have the K8 part, which is pn 59600-01H20. It looks like this:
The snag here is that's right in the middle of the MC recall campain. A recalled MC would have the same bore but the rebuild kit might be different. You'll have to check to see if the recall actually affected it.
The K8 caliper has ~30.3/32 mm bores. If you know the bore diameters of your current calipers, you could calculate the hydraulic ratio. Ideally it should be about 27. Off hand, the 19RCS sounds too big but the 17RCS might be near ideal.