GCD of 219, 360, 494, 808 Calculator

Given Input numbers are 219, 360, 494, 808

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 219, 360, 494, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 360, 494, 808 is 1.

Therefore, GCD of numbers 219, 360, 494, 808 is 1

Given Input Data is 219, 360, 494, 808

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(219, 360) = 26280

GCD(219, 360) = ( 219 x 360 ) / 26280

GCD(219, 360) = 78840 / 26280

GCD(219, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 494

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

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

GCD(3, 494) = 1482 / 1482

GCD(3, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 219, 360, 494, 808 is 1

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1. What is the GCD of 219, 360, 494, 808?

GCD of 219, 360, 494, 808 is 1

2. Where do I get the detailed procedure to find GCD of 219, 360, 494, 808?

You can find a detailed procedure to find GCD of 219, 360, 494, 808 on our page.

3. How to find GCD of 219, 360, 494, 808 on a calculator?

You can find the GCD of 219, 360, 494, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.