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 882, 852, 27, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 852, 27, 331 is 1
GCD(882, 852, 27, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 852, 27, 331 is 1
GCD(882, 852, 27, 331) = 1
Given Input numbers are 882, 852, 27, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 882, 852, 27, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 852, 27, 331 is 1.
Therefore, GCD of numbers 882, 852, 27, 331 is 1
Given Input Data is 882, 852, 27, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 331 is 331
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(882, 852) = 125244
GCD(882, 852) = ( 882 x 852 ) / 125244
GCD(882, 852) = 751464 / 125244
GCD(882, 852) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 27) = 54
GCD(6, 27) = ( 6 x 27 ) / 54
GCD(6, 27) = 162 / 54
GCD(6, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 331) = 993
GCD(3, 331) = ( 3 x 331 ) / 993
GCD(3, 331) = 993 / 993
GCD(3, 331) = 1
GCD of 882, 852, 27, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 852, 27, 331?
GCD of 882, 852, 27, 331 is 1
2. Where do I get the detailed procedure to find GCD of 882, 852, 27, 331?
You can find a detailed procedure to find GCD of 882, 852, 27, 331 on our page.
3. How to find GCD of 882, 852, 27, 331 on a calculator?
You can find the GCD of 882, 852, 27, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.