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 12, 364, 779, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 364, 779, 534 is 1
GCD(12, 364, 779, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 364, 779, 534 is 1
GCD(12, 364, 779, 534) = 1
Given Input numbers are 12, 364, 779, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 12, 364, 779, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 364, 779, 534 is 1.
Therefore, GCD of numbers 12, 364, 779, 534 is 1
Given Input Data is 12, 364, 779, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 779 is 19 x 41
Prime Factorization of 534 is 2 x 3 x 89
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(12, 364) = 1092
GCD(12, 364) = ( 12 x 364 ) / 1092
GCD(12, 364) = 4368 / 1092
GCD(12, 364) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 779) = 3116
GCD(4, 779) = ( 4 x 779 ) / 3116
GCD(4, 779) = 3116 / 3116
GCD(4, 779) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 12, 364, 779, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 364, 779, 534?
GCD of 12, 364, 779, 534 is 1
2. Where do I get the detailed procedure to find GCD of 12, 364, 779, 534?
You can find a detailed procedure to find GCD of 12, 364, 779, 534 on our page.
3. How to find GCD of 12, 364, 779, 534 on a calculator?
You can find the GCD of 12, 364, 779, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.