GCD of 627, 789, 361 Calculator

Given Input numbers are 627, 789, 361

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 789

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

1, 3, 263, 789

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 627, 789, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 789, 361 is 1.

Therefore, GCD of numbers 627, 789, 361 is 1

Given Input Data is 627, 789, 361

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 789 is 3 x 263

Prime Factorization of 361 is 19 x 19

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(627, 789) = 164901

GCD(627, 789) = ( 627 x 789 ) / 164901

GCD(627, 789) = 494703 / 164901

GCD(627, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

GCD of 627, 789, 361 is 1

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1. What is the GCD of 627, 789, 361?

GCD of 627, 789, 361 is 1

2. Where do I get the detailed procedure to find GCD of 627, 789, 361?

You can find a detailed procedure to find GCD of 627, 789, 361 on our page.

3. How to find GCD of 627, 789, 361 on a calculator?

You can find the GCD of 627, 789, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.