GCD of 522, 431, 823, 322 Calculator

Given Input numbers are 522, 431, 823, 322

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 431

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

1, 431

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

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 522, 431, 823, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 431, 823, 322 is 1.

Therefore, GCD of numbers 522, 431, 823, 322 is 1

Given Input Data is 522, 431, 823, 322

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 431 is 431

Prime Factorization of 823 is 823

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(522, 431) = 224982

GCD(522, 431) = ( 522 x 431 ) / 224982

GCD(522, 431) = 224982 / 224982

GCD(522, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 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 522, 431, 823, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 769, 940, 765
• GCD of 125, 936, 184, 241
• GCD of 278, 924, 700, 186
• GCD of 281, 973, 735, 141
• GCD of 943, 566, 367, 650

1. What is the GCD of 522, 431, 823, 322?

GCD of 522, 431, 823, 322 is 1

2. Where do I get the detailed procedure to find GCD of 522, 431, 823, 322?

You can find a detailed procedure to find GCD of 522, 431, 823, 322 on our page.

3. How to find GCD of 522, 431, 823, 322 on a calculator?

You can find the GCD of 522, 431, 823, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.