GCD of 804, 819, 704, 830 Calculator

Given Input numbers are 804, 819, 704, 830

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 804, 819, 704, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 819, 704, 830 is 1.

Therefore, GCD of numbers 804, 819, 704, 830 is 1

Given Input Data is 804, 819, 704, 830

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 830 is 2 x 5 x 83

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(804, 819) = 219492

GCD(804, 819) = ( 804 x 819 ) / 219492

GCD(804, 819) = 658476 / 219492

GCD(804, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 804, 819, 704, 830 is 1

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1. What is the GCD of 804, 819, 704, 830?

GCD of 804, 819, 704, 830 is 1

2. Where do I get the detailed procedure to find GCD of 804, 819, 704, 830?

You can find a detailed procedure to find GCD of 804, 819, 704, 830 on our page.

3. How to find GCD of 804, 819, 704, 830 on a calculator?

You can find the GCD of 804, 819, 704, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.