It's possible to have a half-brother who is a great guy... but you can't have a great-half-brother. The term "great" is reserved for ancestors or descendants, but not for siblings.
A half brother means that they either had the same father or mother as the rest of the siblings, but a different father or mother making them a half brother. You Grandmother's half brother would be your great uncle.
Your grandfather's half brother is you great uncle. Some would insist on calling him your half-great uncle, but the English language has not had a need to get that specific and complex about such distant relationships.
Possible, yes.
A Great half uncle.
Your grandfather's half brother is your great uncle.
My great great second, half, brother in law who's great great grandfathers....son.
Also, your half brother.
The son of your great grandfather's brother was your grandfather's first cousin. That makes him your first cousin, twice removed.
Half-Brother.
that he is divorset
Embry's possible half brother is Quil Ateara Jr. in the Twilight series. It is hinted that they share the same father, Quil Ateara Sr., making them half-brothers. This revelation adds an interesting dynamic to their friendship in the story.
Your maternal half-brother is a brother who has the same mother as you but not the same father.