GCD of 507, 820, 18, 399 Calculator

Given Input numbers are 507, 820, 18, 399

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 507, 820, 18, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 820, 18, 399 is 1.

Therefore, GCD of numbers 507, 820, 18, 399 is 1

Given Input Data is 507, 820, 18, 399

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 399 is 3 x 7 x 19

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(507, 820) = 415740

GCD(507, 820) = ( 507 x 820 ) / 415740

GCD(507, 820) = 415740 / 415740

GCD(507, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 507, 820, 18, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 685, 32, 569
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• GCD of 267, 744, 15, 821

1. What is the GCD of 507, 820, 18, 399?

GCD of 507, 820, 18, 399 is 1

2. Where do I get the detailed procedure to find GCD of 507, 820, 18, 399?

You can find a detailed procedure to find GCD of 507, 820, 18, 399 on our page.

3. How to find GCD of 507, 820, 18, 399 on a calculator?

You can find the GCD of 507, 820, 18, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.