GCD of 819, 738, 184, 845 Calculator

Given Input numbers are 819, 738, 184, 845

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 819, 738, 184, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 738, 184, 845 is 1.

Therefore, GCD of numbers 819, 738, 184, 845 is 1

Given Input Data is 819, 738, 184, 845

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 845 is 5 x 13 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, 738) = 67158

GCD(819, 738) = ( 819 x 738 ) / 67158

GCD(819, 738) = 604422 / 67158

GCD(819, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 184

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

LCM(9, 184) = 1656

GCD(9, 184) = ( 9 x 184 ) / 1656

GCD(9, 184) = 1656 / 1656

GCD(9, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 819, 738, 184, 845 is 1

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1. What is the GCD of 819, 738, 184, 845?

GCD of 819, 738, 184, 845 is 1

2. Where do I get the detailed procedure to find GCD of 819, 738, 184, 845?

You can find a detailed procedure to find GCD of 819, 738, 184, 845 on our page.

3. How to find GCD of 819, 738, 184, 845 on a calculator?

You can find the GCD of 819, 738, 184, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.