GCD of 431, 538, 189, 322 Calculator

Given Input numbers are 431, 538, 189, 322

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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 431, 538, 189, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 538, 189, 322 is 1.

Therefore, GCD of numbers 431, 538, 189, 322 is 1

Given Input Data is 431, 538, 189, 322

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

Prime Factorization of 431 is 431

Prime Factorization of 538 is 2 x 269

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(431, 538) = 231878

GCD(431, 538) = ( 431 x 538 ) / 231878

GCD(431, 538) = 231878 / 231878

GCD(431, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 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 431, 538, 189, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 768, 665, 461
• GCD of 413, 352, 375, 503
• GCD of 190, 741, 708, 782
• GCD of 381, 268, 959, 139
• GCD of 115, 397, 329, 938

1. What is the GCD of 431, 538, 189, 322?

GCD of 431, 538, 189, 322 is 1

2. Where do I get the detailed procedure to find GCD of 431, 538, 189, 322?

You can find a detailed procedure to find GCD of 431, 538, 189, 322 on our page.

3. How to find GCD of 431, 538, 189, 322 on a calculator?

You can find the GCD of 431, 538, 189, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.