GCD of 117, 510, 363, 499 Calculator

Given Input numbers are 117, 510, 363, 499

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 117, 510, 363, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 510, 363, 499 is 1.

Therefore, GCD of numbers 117, 510, 363, 499 is 1

Given Input Data is 117, 510, 363, 499

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 499 is 499

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(117, 510) = 19890

GCD(117, 510) = ( 117 x 510 ) / 19890

GCD(117, 510) = 59670 / 19890

GCD(117, 510) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 499

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

LCM(3, 499) = 1497

GCD(3, 499) = ( 3 x 499 ) / 1497

GCD(3, 499) = 1497 / 1497

GCD(3, 499) = 1

GCD of 117, 510, 363, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 664, 265, 164
• GCD of 297, 887, 694, 424
• GCD of 512, 307, 192, 310
• GCD of 219, 720, 185, 854
• GCD of 805, 805, 818, 274

1. What is the GCD of 117, 510, 363, 499?

GCD of 117, 510, 363, 499 is 1

2. Where do I get the detailed procedure to find GCD of 117, 510, 363, 499?

You can find a detailed procedure to find GCD of 117, 510, 363, 499 on our page.

3. How to find GCD of 117, 510, 363, 499 on a calculator?

You can find the GCD of 117, 510, 363, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.