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

Find the $L.C.M.$ of the polynomials $30 x^{2}+13 x-3$ and $25 x^{2}-30 x+9$.

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

Find the $G.C.D.$ of $4x^4 + y^4$,$2x^3 - xy^2 - y^3$,and $2x^2 + 2xy + y^2$.

Find the $G.C.D.$ of the polynomials $6 x^{2}+11 x+3$ and $2 x^{2}+x-3$.

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.