Question

What is the output of the greatest common divisor function gcd (27, 12) ?

gcd (x,y) = { x y=0
gcd (y, x%y), y>0
where x%y is remainder division or modulo
a. 1
b. 27
c. 12
d. 3

Answer 1

The output of gcd(27, 12) is 3.

Step-by-step explanation:

The greatest common divisor (gcd) of two numbers is the largest number that divides both of them without leaving a remainder.

Using the gcd function, gcd(27, 12), we can follow the steps:

1. Divide 27 by 12, the result is 2 with a remainder of 3.
2. Now, apply the gcd function to the smaller number (12) and the remainder (3):
3. Divide 12 by 3, the result is 4 with no remainder.
4. Since there is no remainder, the gcd is equal to the smaller number, which is 3.

Therefore, the output of gcd(27, 12) is 3.