GCD of 508, 859, 431, 828 Calculator

Given Input numbers are 508, 859, 431, 828

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

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 508, 859, 431, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 859, 431, 828 is 1.

Therefore, GCD of numbers 508, 859, 431, 828 is 1

Given Input Data is 508, 859, 431, 828

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 859 is 859

Prime Factorization of 431 is 431

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(508, 859) = 436372

GCD(508, 859) = ( 508 x 859 ) / 436372

GCD(508, 859) = 436372 / 436372

GCD(508, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 508, 859, 431, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 801, 203, 118
• GCD of 693, 565, 613, 395
• GCD of 859, 506, 961, 290
• GCD of 483, 593, 554, 670
• GCD of 609, 883, 579, 103

1. What is the GCD of 508, 859, 431, 828?

GCD of 508, 859, 431, 828 is 1

2. Where do I get the detailed procedure to find GCD of 508, 859, 431, 828?

You can find a detailed procedure to find GCD of 508, 859, 431, 828 on our page.

3. How to find GCD of 508, 859, 431, 828 on a calculator?

You can find the GCD of 508, 859, 431, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.