What is the output of the greatest common divisor function gcd (27,12)?
Gcd (x,y) =x y=0
2
27
3
12
The output of the greatest common divisor function gcd (27,12) is 3.
To find the greatest common divisor (GCD) of two numbers, 27 and 12, we can use the Euclidean algorithm.
Step 1: Divide 27 by 12: 27 ÷ 12 = 2 remainder 3
Step 2: Divide 12 by 3: 12 ÷ 3 = 4 remainder 0
Since the remainder is 0, the GCD of 27 and 12 is the divisor at the last step, which is 3.
Therefore, the output of the GCD function gcd(27, 12) is 3.
To find the greatest common divisor (GCD) of two numbers, in this case 27 and 12, you can use the Euclidean algorithm.
To begin, you divide the larger number (27) by the smaller number (12). The remainder from this division is 3.
Next, you replace the larger number (27) with the smaller number (12) and the smaller number (12) with the remainder (3).
Continuing the process, you divide 12 by 3 and the remainder is 0.
Since the remainder is 0, the GCD is the last non-zero remainder, which in this case is 3.
Therefore, the output of the GCD function gcd(27,12) is 3.