Find Greatest Common Divisor for Any Number of Integers with TQL

SOLVED: Problem 2.a) (6 pts) Find the greatest common divisor d = gcd(110,36).b) Find integers U, V, such that d = 110 U 36 V.c) (10 pts) Find the greatest common divisor of the polynomials 14 r 1 and 2 x 1 in Z2[x]: (Note: In this, the coefficients are in Z2 = 0,1, i.e. modulo 2.)

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SOLVED: (Euclidean algorithm practice: integer solutions) The following problems again use the notation (m,n) to denote greatest common divisor of m and n.a) Use the Euclidean algorithm to compute (23,41).b) Use reverse substitutions from equations produced by the above Euclidean algorithm to find a solution (x,y)inZ imes Z to the equation 23x 41y=1.c) Describe the entire set of solutions (x,y)inZ imes Z such that 23x 41y=1.d) Find a solution xin0,dots,40 to the congruence 23x-=1(mod41).e) Find