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 numbers 774, 361, 82 is 1
GCD(774, 361, 82) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.