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 853, 312, 389, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 312, 389, 922 is 1
GCD(853, 312, 389, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 312, 389, 922 is 1
GCD(853, 312, 389, 922) = 1
Given Input numbers are 853, 312, 389, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 853, 312, 389, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 312, 389, 922 is 1.
Therefore, GCD of numbers 853, 312, 389, 922 is 1
Given Input Data is 853, 312, 389, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 389 is 389
Prime Factorization of 922 is 2 x 461
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(853, 312) = 266136
GCD(853, 312) = ( 853 x 312 ) / 266136
GCD(853, 312) = 266136 / 266136
GCD(853, 312) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 853, 312, 389, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 312, 389, 922?
GCD of 853, 312, 389, 922 is 1
2. Where do I get the detailed procedure to find GCD of 853, 312, 389, 922?
You can find a detailed procedure to find GCD of 853, 312, 389, 922 on our page.
3. How to find GCD of 853, 312, 389, 922 on a calculator?
You can find the GCD of 853, 312, 389, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.