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 835, 341, 854, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 341, 854, 923 is 1
GCD(835, 341, 854, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 341, 854, 923 is 1
GCD(835, 341, 854, 923) = 1
Given Input numbers are 835, 341, 854, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 835, 341, 854, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 341, 854, 923 is 1.
Therefore, GCD of numbers 835, 341, 854, 923 is 1
Given Input Data is 835, 341, 854, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 341 is 11 x 31
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 923 is 13 x 71
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(835, 341) = 284735
GCD(835, 341) = ( 835 x 341 ) / 284735
GCD(835, 341) = 284735 / 284735
GCD(835, 341) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 835, 341, 854, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 341, 854, 923?
GCD of 835, 341, 854, 923 is 1
2. Where do I get the detailed procedure to find GCD of 835, 341, 854, 923?
You can find a detailed procedure to find GCD of 835, 341, 854, 923 on our page.
3. How to find GCD of 835, 341, 854, 923 on a calculator?
You can find the GCD of 835, 341, 854, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.