The $H.C.F.$ of two expressions $p$ and $q$ is $1$. Their $L.C.M.$ is

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

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

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

The $L.C.M.$ and $H.C.F.$ of two polynomials $p(x)$ and $q(x)$ are $36 x^{3}(x+a)(x^{3}-a^{3})$ and $x^{2}(x-a)$ respectively. If $p(x)=4 x^{2}(x^{2}-a^{2})$,find $q(x)$.

Find the $G.C.D.$ of $(x+4)^{2}(x-3)^{2}$ and $(x-1)(x+4)(x-3)^{2}$.