GCD of 321, 813, 789, 565 Calculator

Given Input numbers are 321, 813, 789, 565

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 321, 813, 789, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 813, 789, 565 is 1.

Therefore, GCD of numbers 321, 813, 789, 565 is 1

Given Input Data is 321, 813, 789, 565

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 813 is 3 x 271

Prime Factorization of 789 is 3 x 263

Prime Factorization of 565 is 5 x 113

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(321, 813) = 86991

GCD(321, 813) = ( 321 x 813 ) / 86991

GCD(321, 813) = 260973 / 86991

GCD(321, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 789

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

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

GCD(3, 789) = 2367 / 789

GCD(3, 789) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 565

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

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

GCD(3, 565) = 1695 / 1695

GCD(3, 565) = 1

GCD of 321, 813, 789, 565 is 1

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1. What is the GCD of 321, 813, 789, 565?

GCD of 321, 813, 789, 565 is 1

2. Where do I get the detailed procedure to find GCD of 321, 813, 789, 565?

You can find a detailed procedure to find GCD of 321, 813, 789, 565 on our page.

3. How to find GCD of 321, 813, 789, 565 on a calculator?

You can find the GCD of 321, 813, 789, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.