GCD of 36, 510, 419, 817 Calculator

Given Input numbers are 36, 510, 419, 817

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 36, 510, 419, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 510, 419, 817 is 1.

Therefore, GCD of numbers 36, 510, 419, 817 is 1

Given Input Data is 36, 510, 419, 817

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Prime Factorization of 419 is 419

Prime Factorization of 817 is 19 x 43

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(36, 510) = 3060

GCD(36, 510) = ( 36 x 510 ) / 3060

GCD(36, 510) = 18360 / 3060

GCD(36, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 419

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

LCM(6, 419) = 2514

GCD(6, 419) = ( 6 x 419 ) / 2514

GCD(6, 419) = 2514 / 2514

GCD(6, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 36, 510, 419, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 946, 319, 379
• GCD of 32, 969, 495, 567
• GCD of 55, 334, 377, 980
• GCD of 86, 675, 308, 223
• GCD of 58, 376, 517, 732

1. What is the GCD of 36, 510, 419, 817?

GCD of 36, 510, 419, 817 is 1

2. Where do I get the detailed procedure to find GCD of 36, 510, 419, 817?

You can find a detailed procedure to find GCD of 36, 510, 419, 817 on our page.

3. How to find GCD of 36, 510, 419, 817 on a calculator?

You can find the GCD of 36, 510, 419, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.