# POTD5 - -14-12 5 and 0 ≤ 5< |-12 | so the quotient...

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MATH 135 Fall 2005 Problem of the Day #5 Use the Euclidean Algorithm to calculate gcd(1014 , 624), and then reverse the Euclidean Algorithm to find integers x and y so that 1014 x + 624 y = gcd(1014 , 624) Solution to POTD # 4 (a) 173 = 14(12) + 5 and 0 5 < 12, so the quotient is 14 and the remainder is 5. (b) 173 =
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Unformatted text preview: -14(-12) + 5 and 0 ≤ 5 < | -12 | , so the quotient is -14 and the remainder is 5. (c)-173 =-15(12) + 7 and 0 ≤ 7 < 12, so the quotient is -15 and the remainder is 7. (d)-173 = 15(-12) + 7 and 0 ≤ 7 < | -12 | , so the quotient is 15 and the remainder is 7....
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