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 837, 808, 38, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 837, 808, 38, 598 is 1
GCD(837, 808, 38, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 837, 808, 38, 598 is 1
GCD(837, 808, 38, 598) = 1
Given Input numbers are 837, 808, 38, 598
To find the GCD of numbers using factoring list out all the divisors of each number
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 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 837, 808, 38, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 808, 38, 598 is 1.
Therefore, GCD of numbers 837, 808, 38, 598 is 1
Given Input Data is 837, 808, 38, 598
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 38 is 2 x 19
Prime Factorization of 598 is 2 x 13 x 23
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(837, 808) = 676296
GCD(837, 808) = ( 837 x 808 ) / 676296
GCD(837, 808) = 676296 / 676296
GCD(837, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
GCD of 837, 808, 38, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 837, 808, 38, 598?
GCD of 837, 808, 38, 598 is 1
2. Where do I get the detailed procedure to find GCD of 837, 808, 38, 598?
You can find a detailed procedure to find GCD of 837, 808, 38, 598 on our page.
3. How to find GCD of 837, 808, 38, 598 on a calculator?
You can find the GCD of 837, 808, 38, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.