As we know Hermitian Symmetric spaces of compact type are all Fano picard number one, we can talk about his Fano index. Suppose $X$ is one of those Hermitian symmetric spaces, $L$ is the generator of the $Pic(X)$ and $K_X$ is the canonical bundle of $X.$ Hence $K_X=rL$, where $r$ is a negative integer.
My question is what is $r$ in each case of Hermitian symmetric spaces (i.e. for Grassmannians, orthogonal Grassmannians, symplectic Grassmanians, quadrics and two exceptional classes).