GCD of 323, 187, 83, 822 Calculator

Given Input numbers are 323, 187, 83, 822

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 323, 187, 83, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 187, 83, 822 is 1.

Therefore, GCD of numbers 323, 187, 83, 822 is 1

Given Input Data is 323, 187, 83, 822

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 187 is 11 x 17

Prime Factorization of 83 is 83

Prime Factorization of 822 is 2 x 3 x 137

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(323, 187) = 3553

GCD(323, 187) = ( 323 x 187 ) / 3553

GCD(323, 187) = 60401 / 3553

GCD(323, 187) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 83

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

LCM(17, 83) = 1411

GCD(17, 83) = ( 17 x 83 ) / 1411

GCD(17, 83) = 1411 / 1411

GCD(17, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 323, 187, 83, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 923, 23, 406
• GCD of 599, 299, 22, 137
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• GCD of 124, 231, 52, 720
• GCD of 627, 872, 37, 296

1. What is the GCD of 323, 187, 83, 822?

GCD of 323, 187, 83, 822 is 1

2. Where do I get the detailed procedure to find GCD of 323, 187, 83, 822?

You can find a detailed procedure to find GCD of 323, 187, 83, 822 on our page.

3. How to find GCD of 323, 187, 83, 822 on a calculator?

You can find the GCD of 323, 187, 83, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.