GCD of 903, 231, 914, 585 Calculator

Given Input numbers are 903, 231, 914, 585

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 903, 231, 914, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 231, 914, 585 is 1.

Therefore, GCD of numbers 903, 231, 914, 585 is 1

Given Input Data is 903, 231, 914, 585

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 231 is 3 x 7 x 11

Prime Factorization of 914 is 2 x 457

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 231) = 9933

GCD(903, 231) = ( 903 x 231 ) / 9933

GCD(903, 231) = 208593 / 9933

GCD(903, 231) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 914

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

LCM(21, 914) = 19194

GCD(21, 914) = ( 21 x 914 ) / 19194

GCD(21, 914) = 19194 / 19194

GCD(21, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 903, 231, 914, 585 is 1

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1. What is the GCD of 903, 231, 914, 585?

GCD of 903, 231, 914, 585 is 1

2. Where do I get the detailed procedure to find GCD of 903, 231, 914, 585?

You can find a detailed procedure to find GCD of 903, 231, 914, 585 on our page.

3. How to find GCD of 903, 231, 914, 585 on a calculator?

You can find the GCD of 903, 231, 914, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.