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 11, 286, 339, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 286, 339, 853 is 1
GCD(11, 286, 339, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 286, 339, 853 is 1
GCD(11, 286, 339, 853) = 1
Given Input numbers are 11, 286, 339, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 11, 286, 339, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 286, 339, 853 is 1.
Therefore, GCD of numbers 11, 286, 339, 853 is 1
Given Input Data is 11, 286, 339, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 339 is 3 x 113
Prime Factorization of 853 is 853
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(11, 286) = 286
GCD(11, 286) = ( 11 x 286 ) / 286
GCD(11, 286) = 3146 / 286
GCD(11, 286) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 339) = 3729
GCD(11, 339) = ( 11 x 339 ) / 3729
GCD(11, 339) = 3729 / 3729
GCD(11, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 11, 286, 339, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 286, 339, 853?
GCD of 11, 286, 339, 853 is 1
2. Where do I get the detailed procedure to find GCD of 11, 286, 339, 853?
You can find a detailed procedure to find GCD of 11, 286, 339, 853 on our page.
3. How to find GCD of 11, 286, 339, 853 on a calculator?
You can find the GCD of 11, 286, 339, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.