Find the $G.C.D.$ of $8(x^{3}-x^{2}+x)$ and $28(x^{3}+1)$.

The $H.C.F.$ (Highest Common Factor) of two polynomials is $(y-7)$ and their $L.C.M.$ is $y^{3}-10y^{2}+11y+70$. If one of the polynomials is $y^{2}-5y-14$,find the other.

Find the $G.C.D.$ of $8(x^{4}-16)$ and $12(x^{3}-8)$.

Find the $L.C.M.$ of the polynomials: $16-4x^{2}$ and $x^{2}+x-6$.

If $(x-4)$ is the $G.C.D.$ of $x^{2}-x-12$ and $x^{2}-mx-8$,find the value of $m$.

The $H.C.F.$ of $(2x^2 - 4x)$,$(3x^4 - 12x^2)$,and $(2x^5 - 2x^4 - 4x^3)$ is