GCD of 819, 888, 820, 104 Calculator

Given Input numbers are 819, 888, 820, 104

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 819, 888, 820, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 888, 820, 104 is 1.

Therefore, GCD of numbers 819, 888, 820, 104 is 1

Given Input Data is 819, 888, 820, 104

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 104 is 2 x 2 x 2 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(819, 888) = 242424

GCD(819, 888) = ( 819 x 888 ) / 242424

GCD(819, 888) = 727272 / 242424

GCD(819, 888) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 820

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

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

GCD(3, 820) = 2460 / 2460

GCD(3, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 819, 888, 820, 104 is 1

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1. What is the GCD of 819, 888, 820, 104?

GCD of 819, 888, 820, 104 is 1

2. Where do I get the detailed procedure to find GCD of 819, 888, 820, 104?

You can find a detailed procedure to find GCD of 819, 888, 820, 104 on our page.

3. How to find GCD of 819, 888, 820, 104 on a calculator?

You can find the GCD of 819, 888, 820, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.