to the brim vs to the gills

to the brim

prep
  • Used other than figuratively or idiomatically: see to, brim. 

  • To the point of being full, almost overflowing. 

to the gills

prep
  • Entirely or extremely; to the greatest degree possible. 

How often have the words to the brim and to the gills occurred in a corpus of books? (source: Google Ngram Viewer )