GCD of 422, 300, 839, 508 Calculator

Given Input numbers are 422, 300, 839, 508

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 508

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

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 422, 300, 839, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 300, 839, 508 is 1.

Therefore, GCD of numbers 422, 300, 839, 508 is 1

Given Input Data is 422, 300, 839, 508

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 839 is 839

Prime Factorization of 508 is 2 x 2 x 127

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(422, 300) = 63300

GCD(422, 300) = ( 422 x 300 ) / 63300

GCD(422, 300) = 126600 / 63300

GCD(422, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 839

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

LCM(2, 839) = 1678

GCD(2, 839) = ( 2 x 839 ) / 1678

GCD(2, 839) = 1678 / 1678

GCD(2, 839) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 422, 300, 839, 508 is 1

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1. What is the GCD of 422, 300, 839, 508?

GCD of 422, 300, 839, 508 is 1

2. Where do I get the detailed procedure to find GCD of 422, 300, 839, 508?

You can find a detailed procedure to find GCD of 422, 300, 839, 508 on our page.

3. How to find GCD of 422, 300, 839, 508 on a calculator?

You can find the GCD of 422, 300, 839, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.