GCD of 259, 338, 26, 813 Calculator

Given Input numbers are 259, 338, 26, 813

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 259, 338, 26, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 338, 26, 813 is 1.

Therefore, GCD of numbers 259, 338, 26, 813 is 1

Given Input Data is 259, 338, 26, 813

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 26 is 2 x 13

Prime Factorization of 813 is 3 x 271

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, 338) = 87542

GCD(259, 338) = ( 259 x 338 ) / 87542

GCD(259, 338) = 87542 / 87542

GCD(259, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 259, 338, 26, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 746, 38, 158
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• GCD of 907, 187, 49, 323
• GCD of 269, 146, 69, 806

1. What is the GCD of 259, 338, 26, 813?

GCD of 259, 338, 26, 813 is 1

2. Where do I get the detailed procedure to find GCD of 259, 338, 26, 813?

You can find a detailed procedure to find GCD of 259, 338, 26, 813 on our page.

3. How to find GCD of 259, 338, 26, 813 on a calculator?

You can find the GCD of 259, 338, 26, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.