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 854, 394, 13, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 394, 13, 462 is 1
GCD(854, 394, 13, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 394, 13, 462 is 1
GCD(854, 394, 13, 462) = 1
Given Input numbers are 854, 394, 13, 462
To find the GCD of numbers using factoring list out all the divisors of each number
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 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 854, 394, 13, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 394, 13, 462 is 1.
Therefore, GCD of numbers 854, 394, 13, 462 is 1
Given Input Data is 854, 394, 13, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 394 is 2 x 197
Prime Factorization of 13 is 13
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(854, 394) = 168238
GCD(854, 394) = ( 854 x 394 ) / 168238
GCD(854, 394) = 336476 / 168238
GCD(854, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 854, 394, 13, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 394, 13, 462?
GCD of 854, 394, 13, 462 is 1
2. Where do I get the detailed procedure to find GCD of 854, 394, 13, 462?
You can find a detailed procedure to find GCD of 854, 394, 13, 462 on our page.
3. How to find GCD of 854, 394, 13, 462 on a calculator?
You can find the GCD of 854, 394, 13, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.