HK 417 - military/LE, full auto bolt and barrel extension.
HK MR308 HK commercial anywhere but US, made in Germany. Barrel Thread size is 15X1 HK standard. Semi Auto bolt carrier and barrel extension
HK MR762 HK USA commercial, some parts are machined in the US from German materials. Semi Auto bolt carrier and barrel extension.
The barrels between MR and the Gov/LE models are different. They are all chrome lined now, but there are subtle differences I suspect in the way they are chambered and crowned.
BTW thank for teh cheat sheet version of the differences. SO for us, the relevant version is MR308