GCD of 829, 204, 84, 508 Calculator

Given Input numbers are 829, 204, 84, 508

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 829, 204, 84, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 204, 84, 508 is 1.

Therefore, GCD of numbers 829, 204, 84, 508 is 1

Given Input Data is 829, 204, 84, 508

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

Prime Factorization of 829 is 829

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(829, 204) = 169116

GCD(829, 204) = ( 829 x 204 ) / 169116

GCD(829, 204) = 169116 / 169116

GCD(829, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 829, 204, 84, 508 is 1

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• GCD of 926, 850, 99, 257
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1. What is the GCD of 829, 204, 84, 508?

GCD of 829, 204, 84, 508 is 1

2. Where do I get the detailed procedure to find GCD of 829, 204, 84, 508?

You can find a detailed procedure to find GCD of 829, 204, 84, 508 on our page.

3. How to find GCD of 829, 204, 84, 508 on a calculator?

You can find the GCD of 829, 204, 84, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.