GCD of 27, 846, 232, 493 Calculator

Given Input numbers are 27, 846, 232, 493

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 27, 846, 232, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 846, 232, 493 is 1.

Therefore, GCD of numbers 27, 846, 232, 493 is 1

Given Input Data is 27, 846, 232, 493

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 493 is 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(27, 846) = 2538

GCD(27, 846) = ( 27 x 846 ) / 2538

GCD(27, 846) = 22842 / 2538

GCD(27, 846) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 232

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 232) = 2088

GCD(9, 232) = ( 9 x 232 ) / 2088

GCD(9, 232) = 2088 / 2088

GCD(9, 232) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 27, 846, 232, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 352, 765, 463
• GCD of 49, 521, 428, 720
• GCD of 23, 814, 589, 228
• GCD of 46, 252, 919, 913
• GCD of 45, 556, 739, 875

1. What is the GCD of 27, 846, 232, 493?

GCD of 27, 846, 232, 493 is 1

2. Where do I get the detailed procedure to find GCD of 27, 846, 232, 493?

You can find a detailed procedure to find GCD of 27, 846, 232, 493 on our page.

3. How to find GCD of 27, 846, 232, 493 on a calculator?

You can find the GCD of 27, 846, 232, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.