GCD of 509, 198, 831, 479 Calculator

Given Input numbers are 509, 198, 831, 479

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Greatest Common Divisior

We found the divisors of 509, 198, 831, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 198, 831, 479 is 1.

Therefore, GCD of numbers 509, 198, 831, 479 is 1

Given Input Data is 509, 198, 831, 479

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

Prime Factorization of 509 is 509

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 831 is 3 x 277

Prime Factorization of 479 is 479

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(509, 198) = 100782

GCD(509, 198) = ( 509 x 198 ) / 100782

GCD(509, 198) = 100782 / 100782

GCD(509, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 479

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

LCM(1, 479) = 479

GCD(1, 479) = ( 1 x 479 ) / 479

GCD(1, 479) = 479 / 479

GCD(1, 479) = 1

GCD of 509, 198, 831, 479 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 957, 621, 358
• GCD of 136, 264, 399, 624
• GCD of 199, 688, 654, 486
• GCD of 774, 335, 248, 762
• GCD of 555, 835, 821, 338

1. What is the GCD of 509, 198, 831, 479?

GCD of 509, 198, 831, 479 is 1

2. Where do I get the detailed procedure to find GCD of 509, 198, 831, 479?

You can find a detailed procedure to find GCD of 509, 198, 831, 479 on our page.

3. How to find GCD of 509, 198, 831, 479 on a calculator?

You can find the GCD of 509, 198, 831, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.