GCD of 518, 204, 827, 807 Calculator

Given Input numbers are 518, 204, 827, 807

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 518, 204, 827, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 204, 827, 807 is 1.

Therefore, GCD of numbers 518, 204, 827, 807 is 1

Given Input Data is 518, 204, 827, 807

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 827 is 827

Prime Factorization of 807 is 3 x 269

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(518, 204) = 52836

GCD(518, 204) = ( 518 x 204 ) / 52836

GCD(518, 204) = 105672 / 52836

GCD(518, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 518, 204, 827, 807 is 1

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• GCD of 619, 144, 580, 487
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1. What is the GCD of 518, 204, 827, 807?

GCD of 518, 204, 827, 807 is 1

2. Where do I get the detailed procedure to find GCD of 518, 204, 827, 807?

You can find a detailed procedure to find GCD of 518, 204, 827, 807 on our page.

3. How to find GCD of 518, 204, 827, 807 on a calculator?

You can find the GCD of 518, 204, 827, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.