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 852, 851, 791, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 851, 791, 839 is 1
GCD(852, 851, 791, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 851, 791, 839 is 1
GCD(852, 851, 791, 839) = 1
Given Input numbers are 852, 851, 791, 839
To find the GCD of numbers using factoring list out all the divisors of each number
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 852, 851, 791, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 851, 791, 839 is 1.
Therefore, GCD of numbers 852, 851, 791, 839 is 1
Given Input Data is 852, 851, 791, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 851 is 23 x 37
Prime Factorization of 791 is 7 x 113
Prime Factorization of 839 is 839
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(852, 851) = 725052
GCD(852, 851) = ( 852 x 851 ) / 725052
GCD(852, 851) = 725052 / 725052
GCD(852, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
GCD(1, 839) = 839 / 839
GCD(1, 839) = 1
GCD of 852, 851, 791, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 851, 791, 839?
GCD of 852, 851, 791, 839 is 1
2. Where do I get the detailed procedure to find GCD of 852, 851, 791, 839?
You can find a detailed procedure to find GCD of 852, 851, 791, 839 on our page.
3. How to find GCD of 852, 851, 791, 839 on a calculator?
You can find the GCD of 852, 851, 791, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.