I know two generalizations of Hilbert 90, but I don't if there is a statement that contains both:

###The first statement Let $K$ be a field, then $H^1(Gal(K), GL_n(K^{sep}))=0$.

###The second statement Let $X$ be a scheme, then $H^1(X,\mathbb{G}_m)=Pic(X)$.

###Question Is there a nice characterization of $H^1(X,GL_n)$ (where $GL_n$ is treated as a sheaf in the etale topology) for a general scheme $X$?

I know two generalizations of Hilbert 90, but I don't if there is a statement that contains both:

The first statement

Let $K$ be a field, then $H^1(Gal(K), GL_n(K^{sep}))=0$.

The second statement

Let $X$ be a scheme, then $H^1(X,\mathbb{G}_m)=Pic(X)$.

Question

Is there a nice characterization of $H^1(X,GL_n)$ (where $GL_n$ is treated as a sheaf in the etale topology) for a general scheme $X$?