GCD of 921, 589, 894, 322 Calculator

Given Input numbers are 921, 589, 894, 322

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 921, 589, 894, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 589, 894, 322 is 1.

Therefore, GCD of numbers 921, 589, 894, 322 is 1

Given Input Data is 921, 589, 894, 322

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 589 is 19 x 31

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 322 is 2 x 7 x 23

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(921, 589) = 542469

GCD(921, 589) = ( 921 x 589 ) / 542469

GCD(921, 589) = 542469 / 542469

GCD(921, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 921, 589, 894, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 859, 449, 316
• GCD of 827, 635, 797, 541
• GCD of 709, 993, 282, 705
• GCD of 882, 723, 329, 398
• GCD of 784, 257, 313, 816

1. What is the GCD of 921, 589, 894, 322?

GCD of 921, 589, 894, 322 is 1

2. Where do I get the detailed procedure to find GCD of 921, 589, 894, 322?

You can find a detailed procedure to find GCD of 921, 589, 894, 322 on our page.

3. How to find GCD of 921, 589, 894, 322 on a calculator?

You can find the GCD of 921, 589, 894, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.