GCD of 809, 510, 299, 364 Calculator

Given Input numbers are 809, 510, 299, 364

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 809, 510, 299, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 510, 299, 364 is 1.

Therefore, GCD of numbers 809, 510, 299, 364 is 1

Given Input Data is 809, 510, 299, 364

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

Prime Factorization of 809 is 809

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(809, 510) = 412590

GCD(809, 510) = ( 809 x 510 ) / 412590

GCD(809, 510) = 412590 / 412590

GCD(809, 510) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 809, 510, 299, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 265, 979, 807
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• GCD of 628, 959, 800, 987
• GCD of 503, 215, 408, 283

1. What is the GCD of 809, 510, 299, 364?

GCD of 809, 510, 299, 364 is 1

2. Where do I get the detailed procedure to find GCD of 809, 510, 299, 364?

You can find a detailed procedure to find GCD of 809, 510, 299, 364 on our page.

3. How to find GCD of 809, 510, 299, 364 on a calculator?

You can find the GCD of 809, 510, 299, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.