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 327, 692, 556, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 692, 556, 854 is 1
GCD(327, 692, 556, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 692, 556, 854 is 1
GCD(327, 692, 556, 854) = 1
Given Input numbers are 327, 692, 556, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 327, 692, 556, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 692, 556, 854 is 1.
Therefore, GCD of numbers 327, 692, 556, 854 is 1
Given Input Data is 327, 692, 556, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 854 is 2 x 7 x 61
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(327, 692) = 226284
GCD(327, 692) = ( 327 x 692 ) / 226284
GCD(327, 692) = 226284 / 226284
GCD(327, 692) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 327, 692, 556, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 692, 556, 854?
GCD of 327, 692, 556, 854 is 1
2. Where do I get the detailed procedure to find GCD of 327, 692, 556, 854?
You can find a detailed procedure to find GCD of 327, 692, 556, 854 on our page.
3. How to find GCD of 327, 692, 556, 854 on a calculator?
You can find the GCD of 327, 692, 556, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.