Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16 and b₁ = 10. Enter the first two remainders, b₂ and b3, produced by the algorithm. b₂ = b3 = Now carry out the extension to Euclid's algorithm. In the course of the algorithm, you will express d as an integer linear combination of each pair of successive remainders. Enter the integer coefficients that arise for the last three steps. d = • b3 d= d = 4.) ·b₂+ .b₁+ ·bo + .b₂ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than

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