GCD of 12, 905, 321, 357 Calculator

Given Input numbers are 12, 905, 321, 357

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 12, 905, 321, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 905, 321, 357 is 1.

Therefore, GCD of numbers 12, 905, 321, 357 is 1

Given Input Data is 12, 905, 321, 357

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 905 is 5 x 181

Prime Factorization of 321 is 3 x 107

Prime Factorization of 357 is 3 x 7 x 17

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, 905) = 10860

GCD(12, 905) = ( 12 x 905 ) / 10860

GCD(12, 905) = 10860 / 10860

GCD(12, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 12, 905, 321, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 978, 870, 592
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• GCD of 19, 500, 669, 426
• GCD of 78, 822, 526, 890
• GCD of 47, 467, 461, 187

1. What is the GCD of 12, 905, 321, 357?

GCD of 12, 905, 321, 357 is 1

2. Where do I get the detailed procedure to find GCD of 12, 905, 321, 357?

You can find a detailed procedure to find GCD of 12, 905, 321, 357 on our page.

3. How to find GCD of 12, 905, 321, 357 on a calculator?

You can find the GCD of 12, 905, 321, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.