Use the Euclidean algorithm to find the greatest common divisor of 119 and 77. Record each of your steps in the table below. dividend divisor quotient remainder gcd(119, 77) =
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First, we divide 119 by 77: $119 = 77 \cdot 1 + 42$ So, the dividend is 119, the divisor is 77, the quotient is 1, and the remainder is 42. Show more…
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Our goal is to calculate gcd(91, 119). The GCD of 91 and 119 is By Bezout's theorem, we know that this gcd can be written as a*91 + b*119, where a and b are the Bezout's coefficients. These coefficients will be a and b. Hint: Use the Euclidean algorithm. Note: Enter the exact numbers for all the blanks. If your answer is -9, just write -9 without any spaces anywhere.
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Trace the Euclidean algorithm by filling in the table below to compute gcd(787,54). Use as many rows as you need. Enter your final answer below: gcd(a,b) =
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