POTD5 - -14(-12) + 5 and 0 5 < | -12 | , so the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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 =
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: -14(-12) + 5 and 0 5 &lt; | -12 | , so the quotient is -14 and the remainder is 5. (c)-173 =-15(12) + 7 and 0 7 &lt; 12, so the quotient is -15 and the remainder is 7. (d)-173 = 15(-12) + 7 and 0 7 &lt; | -12 | , so the quotient is 15 and the remainder is 7....
View Full Document

Ask a homework question - tutors are online