what is a unitary divisor?

Question

thanks

Answer 1

Let n and d be positive integers. We say d is a unitary divisor of n if and only if

d | n (d is a divisor of n, ie. n/d is an integer)

and

gcd(d, n/d) = 1,

(where gcd(a, b) denotes the greatest common divisor of integers a and b, ie. the largest positive integer that divides both a and b).

Example

8 has divisors 1, 2 and 4 and 8:

the gcd of 1 and 8/1 = 8 is 1;
the gcd of 2 and 8/2 = 4 is 2;
the gcd of 4 and 8/4 = 2 is 2;
the gcd of 8 and 8/8 = 1 is 1.

Thus, the unitary divisors of 8 and 1 and 8.

Answer 2

Anything that equals 'one'

Examples:

3/3

10/10

1

-2/-2

You use whatever is convenient for the particular problem (like adding fractions with different denominators) to aid in solving it.

.

Answer 3

one