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 819, 837, 52, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 837, 52, 957 is 1
GCD(819, 837, 52, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 837, 52, 957 is 1
GCD(819, 837, 52, 957) = 1
Given Input numbers are 819, 837, 52, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 819, 837, 52, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 837, 52, 957 is 1.
Therefore, GCD of numbers 819, 837, 52, 957 is 1
Given Input Data is 819, 837, 52, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 957 is 3 x 11 x 29
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(819, 837) = 76167
GCD(819, 837) = ( 819 x 837 ) / 76167
GCD(819, 837) = 685503 / 76167
GCD(819, 837) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 52) = 468
GCD(9, 52) = ( 9 x 52 ) / 468
GCD(9, 52) = 468 / 468
GCD(9, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
GCD of 819, 837, 52, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 837, 52, 957?
GCD of 819, 837, 52, 957 is 1
2. Where do I get the detailed procedure to find GCD of 819, 837, 52, 957?
You can find a detailed procedure to find GCD of 819, 837, 52, 957 on our page.
3. How to find GCD of 819, 837, 52, 957 on a calculator?
You can find the GCD of 819, 837, 52, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.