I don't know of an existing tool to do this.
You may want to try a little python, like this (btw completely untested)
import arcpy
pathtodata = r"c:/some/path/to/data/db.fgb/mydata"
flds = ["field1", "field2", "field3"]
with arcpy.da.SearchCursor(pathtodata, flds) as Cur:
for row in Cur:
minval = -9999999
minfld = None
for v in range(len(flds)):
if row[v] > minval:
minval = row[v]
minfld = flds[v]
print "Fld {} min {}".format(minfld, minval)