# lec0217 - Exam Statistics Average = 49.4/75 ~ 65.9 Stddev =...

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Exam Statistics Average = 49.4/75 ~ 65.9% Stddev = 11.7 ~ 15.6% # Tests = 120 Score Range #people in range 65- 75 14 55.64 28 45.54 38 35.44 28 <35 12

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Euclid’s Algorithm The Greatest Common Divisor(GCD) of two integers is defined as follows: An integer c is called the GCD(a,b) (read as the greatest common divisor of integers a and b) if the following 2 conditions hold: 1) c | a c | b 2) For any common divisor d of a and b, d | c. Rule 2 ensures that the divisor c is the greatest of all the common divisors of a and b. One way we could find the GCD of two integers is by trial and error. Another way is that we could prime factorize each integer, and from the prime factorization, see which factors are common between the two integers. However, both of these become very time consuming as soon as the integers are relatively large. However, Euclid devised a fairly simple and efficient algorithm to determine the GCD of two integers. The algorithm basically makes use of the division algorithm repeatedly.
Let’s say you are trying to find the GCD(a,b), where a and b

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