GCD of 903, 696, 182, 422 Calculator

Given Input numbers are 903, 696, 182, 422

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 903, 696, 182, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 696, 182, 422 is 1.

Therefore, GCD of numbers 903, 696, 182, 422 is 1

Given Input Data is 903, 696, 182, 422

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 422 is 2 x 211

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(903, 696) = 209496

GCD(903, 696) = ( 903 x 696 ) / 209496

GCD(903, 696) = 628488 / 209496

GCD(903, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 182

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

LCM(3, 182) = 546

GCD(3, 182) = ( 3 x 182 ) / 546

GCD(3, 182) = 546 / 546

GCD(3, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 903, 696, 182, 422 is 1

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1. What is the GCD of 903, 696, 182, 422?

GCD of 903, 696, 182, 422 is 1

2. Where do I get the detailed procedure to find GCD of 903, 696, 182, 422?

You can find a detailed procedure to find GCD of 903, 696, 182, 422 on our page.

3. How to find GCD of 903, 696, 182, 422 on a calculator?

You can find the GCD of 903, 696, 182, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.