Board Thread:Naruto Discussions/@comment-26993711-20170603214204/@comment-734582-20170607085815

Kakashisologod1 wrote: Leader is the one who people respect and who can choose the best options to win.Shikamaru was not stronger than say neji or naruto,yet he was the leader of that squad. At that time Shikamaru was the only chunin. Plus, i'm pretty sure Shikamaru is the only exception we really know of. So far the various Kage were all the strongest of their village: Hashirama was the strongest in the world, Tobirama was probably top 5, Hiruzen was touted to be the strongest of his equals, Minato was called a prodigy by many, but also probably the strongest of Konoha, Tsunade was a Sannin, a group of people equally strong as famous.

Kakashi's power we don't know as Hokage, making his position unclear.

So yea, most of the time the kage is the strongest of the village.