common land vs grazing land

common land and grazing land both are nouns.

Word	Noun	Adjective	Verb	Adverb
common land	Yes	No	No	No
grazing land	Yes	No	No	No

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

common land: a pasture subject to common use
grazing land: a field covered with grass or herbage and suitable for grazing by livestock

Other hypernyms of common land include lea, ley, pasture, pasture land, pastureland.

common land (noun)	grazing land (noun)
a pasture subject to common use	a field covered with grass or herbage and suitable for grazing by livestock