GCD of 405, 508, 502, 338 Calculator

Given Input numbers are 405, 508, 502, 338

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 405, 508, 502, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 508, 502, 338 is 1.

Therefore, GCD of numbers 405, 508, 502, 338 is 1

Given Input Data is 405, 508, 502, 338

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 502 is 2 x 251

Prime Factorization of 338 is 2 x 13 x 13

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(405, 508) = 205740

GCD(405, 508) = ( 405 x 508 ) / 205740

GCD(405, 508) = 205740 / 205740

GCD(405, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 405, 508, 502, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 528, 406, 641
• GCD of 488, 341, 956, 163
• GCD of 439, 147, 744, 573
• GCD of 893, 770, 825, 252
• GCD of 674, 366, 397, 891

1. What is the GCD of 405, 508, 502, 338?

GCD of 405, 508, 502, 338 is 1

2. Where do I get the detailed procedure to find GCD of 405, 508, 502, 338?

You can find a detailed procedure to find GCD of 405, 508, 502, 338 on our page.

3. How to find GCD of 405, 508, 502, 338 on a calculator?

You can find the GCD of 405, 508, 502, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.