GCD of 338, 520, 421 Calculator

Given Input numbers are 338, 520, 421

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 338, 520, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 520, 421 is 1.

Therefore, GCD of numbers 338, 520, 421 is 1

Given Input Data is 338, 520, 421

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 421 is 421

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, 520) = 6760

GCD(338, 520) = ( 338 x 520 ) / 6760

GCD(338, 520) = 175760 / 6760

GCD(338, 520) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 421

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

LCM(26, 421) = 10946

GCD(26, 421) = ( 26 x 421 ) / 10946

GCD(26, 421) = 10946 / 10946

GCD(26, 421) = 1

GCD of 338, 520, 421 is 1

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• GCD of 311, 390, 150
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1. What is the GCD of 338, 520, 421?

GCD of 338, 520, 421 is 1

2. Where do I get the detailed procedure to find GCD of 338, 520, 421?

You can find a detailed procedure to find GCD of 338, 520, 421 on our page.

3. How to find GCD of 338, 520, 421 on a calculator?

You can find the GCD of 338, 520, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.