 The probability of a given quotient "q" is approximately ln|"u"/("u" − 1)| where "u" = ("q" + 1)2.For illustration, the probability of a quotient of 1, 2, 3, or 4 is roughly 41.5%, 17.0%, 9.3%, and 5.9%, respectively.Since the operation of subtraction is faster than division, particularly for large numbers, the subtraction-based Euclid's algorithm is competitive with the division-based version.