The documentary about the Bête du Gévaudan can be watched here (only in French):
For me, this story is really unusual, even for people who knew the wolf attacks in their life.
The abundance of marvelous details is a sign that this so-called beast wasn't a normal wolf.
First the animals escaped all the attempts of killing, even when the king sent the best hunters of the country (experimented in wolf hunting) and even elite battalions. They were supposed to be covered with magic.
Then, in the final episode, the beast was killed by Jean Chastel, a peasant with a strong reputation of sorcery (he was supposed to be a meneur de loups).
The beast didn't show fear or aggressivity against him, and was finally killed by bullets made with the metal of a Virgin Mary statue!
Obviously, the scene took place in a context where wolf attacks were numerous, because of the factors explained by
@Onychorhynchus coronatus
The historian Xavier de Planhol explained the history of wolf/man conflicts in France (in Le Paysage animal, Fayard, 2004).
He highlighted that most conflicts took place between the 14th (but not before) and the beginning of the 19th century, before the gradual extirpation of wolves in the country.
My personal hypothesis is linked to the large clearings of the 10-13th centuries, that reduced the wild ungulate populations, and mostly to the harsh conditions of the 14th century in France, that constrained the wolves to hunt domestic animals and even humans in poor physical condition (children, elders, hurted soldiers...). I guess that they roamed also near the graveyards and the gallows, where they were "preys" easy to capture.
Most episodes of predation of humans by wolves were also frequently linked to periods of political unrest and/or weakness of the public powers : Guerre de Cent Ans, Guerres de Religion, Révolution Française... and the religious conflicts of the Cévennes (a bastion of Protestant religion, that survived in semi-clandestine condition).
I can add that the episode of the Bête du Gévaudan took place in the middle of the Siècle des Lumières, the time of Voltaire and Rousseau.
The persistance of such an island of superstition and arrieration in the middle of France was obviously a subject of curiosity in this time.