Joules/K.mol
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8.314 J/mol K
International System of Units (SI)
They are not the same, but related. From Wikipedia (article "gas constant"): " [The gas constant] is equivalent to the Boltzmann constant, but expressed in units of energy (i.e. the pressure-volume product) per temperature increment per mole (rather than energy per temperature increment per particle)".
The value of Planck's constant depends on the system of units that are being used. The SI units are designed mainly for everyday measurements, where energies are usually of the order of kilojoules and a small period of time is a minute or second. However, the Planck's constant applies events at a subatomic scale so that these "normal" measurement units are not inappropriate.So the question changes in which units would the Plank's constant become 1. Further, the answer depends on how that change is achieved.
From the Wikipedia: "In SI units... R has the value 8.314 J·K−1·mol−1." That's can also be expressed as J/(K x mol). In other words, energy divided by (temperature x amount of substance).