Find the GCD of the following algebraic expression:

$a^2-b^2-c^2+2bc, b^2-c^2-a^2+2ac, c^2-a^2-b^2+2ab$

Find the GCD of the following algebraic expression:

$x^3-16x, 2x^3+9x^2+4x, 2x^3+x^2-28x$

Find the GCD of the following algebraic expression:

$4x^2-1, 8x^3-1, 4x^2-4x+1$

Find the GCD of the following algebraic expression:

$x^3-3x^2-10x, x^3+6x^2+8x, x^4-5x^3-14x^2$

Find the GCD of the following algebraic expression:

$6x^2-13xa+6a^2, 6x^2+11xa-10a^2, 6x^2+2xa-4a^2$

Find the LCM of the following algebraic expression:

$p^2-q^2, {(p+q)}^2$

Find the LCM of the following algebraic expression:

$\left(x^2{y}^2-x^2\right), \left(x{y}^2-2xy+x\right)$

Find the LCM of the following algebraic expression:

$(p+q)(p+r), (q+r)(r+p), (r+p)(p+q)$

Find the LCM of the following algebraic expression:

$a{b}^4-8ab, a^2{b}^4+8a^{2}b, a{b}^4-4a{b}^2$