GCD of 259, 580, 232 Calculator

Given Input numbers are 259, 580, 232

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

Divisors of 259

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

1, 7, 37, 259

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 259, 580, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 580, 232 is 1.

Therefore, GCD of numbers 259, 580, 232 is 1

Given Input Data is 259, 580, 232

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(259, 580) = 150220

GCD(259, 580) = ( 259 x 580 ) / 150220

GCD(259, 580) = 150220 / 150220

GCD(259, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 259, 580, 232 is 1

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1. What is the GCD of 259, 580, 232?

GCD of 259, 580, 232 is 1

2. Where do I get the detailed procedure to find GCD of 259, 580, 232?

You can find a detailed procedure to find GCD of 259, 580, 232 on our page.

3. How to find GCD of 259, 580, 232 on a calculator?

You can find the GCD of 259, 580, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.