f] = 1, for f the greatest

common divisor of the elements [[alpha].

If every subtractive subsemimodule of a semimodule A over a semiring R is cyclic, then every nonempty subset of A has a greatest

common divisor.

24) Balinski and Young, in Fair Representation, refer to these as divisor methods because they use a

common divisor.

In grouped replicated designs, the number of groups (n) into which R is splitted is determined by the largest

common divisor (n) of coordinates x and y (Fig.

1,2,9] Another feature of this configuration is the fact that if K and F have a

common divisor larger than 1 (ged (K,F) = Z [greater than] 1), the spurs will show at [f.

This problem may be used as a simple application of greatest

common divisor (GCD) of two positive integers.

The assumption that the greatest

common divisor of {k [member of] N | [a.

A rational number d is said to be the greatest

common divisor of a and b if d is a divisor of both a and b and if e is any other

common divisor of a and b, then d [greater than or equal to] e.

Among the topics are multivariate ultrametric root counting, efficient polynomial system solving by numerical methods, a search for an optimal start system for numerical homotopy continuation, dense fewnomials, and the numerical greatest

common divisor of univariate polynomials.

Let (a, b) = d denotes the Greatest

Common Divisor of a and b, and a = d x [a.

Using computer, Stephens [10] found the example about r as follows: for p = 17 and q = 3313, r = 112643 = 2pq + 1 is the greatest

common divisor of f and t.

To understand the statement of Dirichlet's theorem, recall that given two integers a and b, their greatest

common divisor is the largest integer which is a divisor of both a and b; we denote it gcd(a,b).