GCD of 338, 530, 26, 311 Calculator

Given Input numbers are 338, 530, 26, 311

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 26

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

1, 2, 13, 26

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 338, 530, 26, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 530, 26, 311 is 1.

Therefore, GCD of numbers 338, 530, 26, 311 is 1

Given Input Data is 338, 530, 26, 311

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 26 is 2 x 13

Prime Factorization of 311 is 311

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(338, 530) = 89570

GCD(338, 530) = ( 338 x 530 ) / 89570

GCD(338, 530) = 179140 / 89570

GCD(338, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 338, 530, 26, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 156, 51, 179
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• GCD of 826, 716, 38, 679

1. What is the GCD of 338, 530, 26, 311?

GCD of 338, 530, 26, 311 is 1

2. Where do I get the detailed procedure to find GCD of 338, 530, 26, 311?

You can find a detailed procedure to find GCD of 338, 530, 26, 311 on our page.

3. How to find GCD of 338, 530, 26, 311 on a calculator?

You can find the GCD of 338, 530, 26, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.