GCD of 259, 720, 556 Calculator

Given Input numbers are 259, 720, 556

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 259, 720, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 720, 556 is 1.

Therefore, GCD of numbers 259, 720, 556 is 1

Given Input Data is 259, 720, 556

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 556 is 2 x 2 x 139

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, 720) = 186480

GCD(259, 720) = ( 259 x 720 ) / 186480

GCD(259, 720) = 186480 / 186480

GCD(259, 720) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 259, 720, 556 is 1

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1. What is the GCD of 259, 720, 556?

GCD of 259, 720, 556 is 1

2. Where do I get the detailed procedure to find GCD of 259, 720, 556?

You can find a detailed procedure to find GCD of 259, 720, 556 on our page.

3. How to find GCD of 259, 720, 556 on a calculator?

You can find the GCD of 259, 720, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.