GCD of 323, 791, 36, 774 Calculator

Given Input numbers are 323, 791, 36, 774

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 323, 791, 36, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 791, 36, 774 is 1.

Therefore, GCD of numbers 323, 791, 36, 774 is 1

Given Input Data is 323, 791, 36, 774

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 791 is 7 x 113

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(323, 791) = 255493

GCD(323, 791) = ( 323 x 791 ) / 255493

GCD(323, 791) = 255493 / 255493

GCD(323, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 323, 791, 36, 774 is 1

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1. What is the GCD of 323, 791, 36, 774?

GCD of 323, 791, 36, 774 is 1

2. Where do I get the detailed procedure to find GCD of 323, 791, 36, 774?

You can find a detailed procedure to find GCD of 323, 791, 36, 774 on our page.

3. How to find GCD of 323, 791, 36, 774 on a calculator?

You can find the GCD of 323, 791, 36, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.