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 861, 814, 13, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 814, 13, 393 is 1
GCD(861, 814, 13, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 814, 13, 393 is 1
GCD(861, 814, 13, 393) = 1
Given Input numbers are 861, 814, 13, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 861, 814, 13, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 814, 13, 393 is 1.
Therefore, GCD of numbers 861, 814, 13, 393 is 1
Given Input Data is 861, 814, 13, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 13 is 13
Prime Factorization of 393 is 3 x 131
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(861, 814) = 700854
GCD(861, 814) = ( 861 x 814 ) / 700854
GCD(861, 814) = 700854 / 700854
GCD(861, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 861, 814, 13, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 814, 13, 393?
GCD of 861, 814, 13, 393 is 1
2. Where do I get the detailed procedure to find GCD of 861, 814, 13, 393?
You can find a detailed procedure to find GCD of 861, 814, 13, 393 on our page.
3. How to find GCD of 861, 814, 13, 393 on a calculator?
You can find the GCD of 861, 814, 13, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.