GCD of 774, 361, 82 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 774, 361, 82 i.e. 1 largest integer that divides all the numbers equally.

GCD of 774, 361, 82 is 1

GCD(774, 361, 82) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 774, 361, 82 is 1

GCD(774, 361, 82) = 1

GCD of 774,361,82 Calculator

GCDof 774,361,82 is 1

Given Input numbers are 774, 361, 82

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

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

Divisors of 361

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

1, 19, 361

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 774, 361, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 361, 82 is 1.

Therefore, GCD of numbers 774, 361, 82 is 1

Finding GCD of 774, 361, 82 using Prime Factorization

Given Input Data is 774, 361, 82

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

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 82 is 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 774, 361, 82 using LCM Formula

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(774, 361) = 279414

GCD(774, 361) = ( 774 x 361 ) / 279414

GCD(774, 361) = 279414 / 279414

GCD(774, 361) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 774, 361, 82 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 774, 361, 82

1. What is the GCD of 774, 361, 82?

GCD of 774, 361, 82 is 1


2. Where do I get the detailed procedure to find GCD of 774, 361, 82?

You can find a detailed procedure to find GCD of 774, 361, 82 on our page.


3. How to find GCD of 774, 361, 82 on a calculator?

You can find the GCD of 774, 361, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.