GCD of 12, 327, 956, 849 Calculator

Given Input numbers are 12, 327, 956, 849

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 12, 327, 956, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 327, 956, 849 is 1.

Therefore, GCD of numbers 12, 327, 956, 849 is 1

Given Input Data is 12, 327, 956, 849

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 327 is 3 x 109

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 849 is 3 x 283

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(12, 327) = 1308

GCD(12, 327) = ( 12 x 327 ) / 1308

GCD(12, 327) = 3924 / 1308

GCD(12, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 956

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

LCM(3, 956) = 2868

GCD(3, 956) = ( 3 x 956 ) / 2868

GCD(3, 956) = 2868 / 2868

GCD(3, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 12, 327, 956, 849 is 1

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1. What is the GCD of 12, 327, 956, 849?

GCD of 12, 327, 956, 849 is 1

2. Where do I get the detailed procedure to find GCD of 12, 327, 956, 849?

You can find a detailed procedure to find GCD of 12, 327, 956, 849 on our page.

3. How to find GCD of 12, 327, 956, 849 on a calculator?

You can find the GCD of 12, 327, 956, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.