GCD of 231, 870, 259, 903 Calculator

Given Input numbers are 231, 870, 259, 903

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

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 903

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

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

Greatest Common Divisior

We found the divisors of 231, 870, 259, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 870, 259, 903 is 1.

Therefore, GCD of numbers 231, 870, 259, 903 is 1

Given Input Data is 231, 870, 259, 903

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 259 is 7 x 37

Prime Factorization of 903 is 3 x 7 x 43

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(231, 870) = 66990

GCD(231, 870) = ( 231 x 870 ) / 66990

GCD(231, 870) = 200970 / 66990

GCD(231, 870) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 259

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

LCM(3, 259) = 777

GCD(3, 259) = ( 3 x 259 ) / 777

GCD(3, 259) = 777 / 777

GCD(3, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 231, 870, 259, 903 is 1

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1. What is the GCD of 231, 870, 259, 903?

GCD of 231, 870, 259, 903 is 1

2. Where do I get the detailed procedure to find GCD of 231, 870, 259, 903?

You can find a detailed procedure to find GCD of 231, 870, 259, 903 on our page.

3. How to find GCD of 231, 870, 259, 903 on a calculator?

You can find the GCD of 231, 870, 259, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.