GCD of 338, 255, 410, 590 Calculator

Given Input numbers are 338, 255, 410, 590

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 338, 255, 410, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 255, 410, 590 is 1.

Therefore, GCD of numbers 338, 255, 410, 590 is 1

Given Input Data is 338, 255, 410, 590

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 255 is 3 x 5 x 17

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 590 is 2 x 5 x 59

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, 255) = 86190

GCD(338, 255) = ( 338 x 255 ) / 86190

GCD(338, 255) = 86190 / 86190

GCD(338, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 338, 255, 410, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 584, 772, 169
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• GCD of 844, 259, 929, 591

1. What is the GCD of 338, 255, 410, 590?

GCD of 338, 255, 410, 590 is 1

2. Where do I get the detailed procedure to find GCD of 338, 255, 410, 590?

You can find a detailed procedure to find GCD of 338, 255, 410, 590 on our page.

3. How to find GCD of 338, 255, 410, 590 on a calculator?

You can find the GCD of 338, 255, 410, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.