How to find the greatest common divisor betweentwo integers? We may encounter this problem frequently in interviews or otheroccasions.Anefficient metho to find gcd is the Euclideanalgorithm, whichuses the divisionalgorithm incombination with the observation that the gcd of two numbers also divides theirdifference: divide 48 by 18 to get a quotient of 2 and a remainder of 12. Thendivide 18 by 12 to get a quotient of 1 and a remainder of 6. Then divide 12 by6 to get a remainder of 0, which means that 6 is the gcd. Formally, it could bewritten asgcd(a,0)= agcd(a,b)= gcd(b...