The Euclidean Algorithm for Calculating the Greatest Common Divisor (Gcd)

question 17

Essay

The Euclidean algorithm for calculating the greatest common divisor (gcd) of two integers a and b is: "If a is a nonnegative integer, b is a positive integer, and r = a mod b, then gcd(a,b) = gcd(b,r). Write a recursive method that uses the Euclidean algorithm to calculate the gcd.

---

Definitions:

Constituencies

The body of voters or residents in a specified area who elect a representative to a legislative or other public office.

Dred Scott Decision

A controversial and pivotal Supreme Court case in 1857 that ruled African Americans could not be American citizens and negated federal power to regulate slavery in the territories.

Republican Party Leaders

Individuals holding significant positions of authority and influence within the Republican Party, shaping its policies, strategies, and electoral engagements.

Republican Coalition

A political alliance within the United States Republican Party, bringing together various factions and interests groups within the party.