How many battalions held the Western Front?

Imperial War Museum image Q23892. Two French soldiers, dead and half-buried in the soil, in the area of Fort Vaux, Verdun.

A report considered by the British War Cabinet held on 30 December 1916 included details of the relative infantry manpower on the Western Front in France and Flanders at that time:

British front (Boesinghe to Bouchavesnes, 90 miles)
British battalions – 672 (7.5 per mile of front)
German battalions – 472 (5.2 per mile)
Ratio of British:German battalions per mile of front, 1.4 to 1

French front (Bouchavesnes to the Moselle, 230 miles)
French battalions – 1215 (5.3 per mile of front)
German battalions – 643 (2.8 per mile)
Ratio of French:German battalions per mile of front, 1.9 to 1

This was the position after the Battle of the Somme and the Battle of Verdun, and just a few weeks before the German strategic withdrawal to the Hindenburg Line (Operation Alberich).