common measure vs divisor

common measure and divisor both are nouns.

Word	Noun	Adjective	Verb	Adverb
common measure	Yes	No	No	No
divisor	Yes	No	No	No

As nouns, divisor is a hypernym of common measure; that is, divisor is a word with a broader meaning than common measure:

common measure: an integer that divides two (or more) other integers evenly
divisor: one of two or more integers that can be exactly divided into another integer

Other hypernyms of common measure include factor.

common measure (noun)	divisor (noun)
the usual (iambic) meter of a ballad	the number by which a dividend is divided
an integer that divides two (or more) other integers evenly	one of two or more integers that can be exactly divided into another integer
a time signature indicating four beats to the bar