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 829, 406, 58, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 406, 58, 311 is 1
GCD(829, 406, 58, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 406, 58, 311 is 1
GCD(829, 406, 58, 311) = 1
Given Input numbers are 829, 406, 58, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 829, 406, 58, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 406, 58, 311 is 1.
Therefore, GCD of numbers 829, 406, 58, 311 is 1
Given Input Data is 829, 406, 58, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 58 is 2 x 29
Prime Factorization of 311 is 311
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(829, 406) = 336574
GCD(829, 406) = ( 829 x 406 ) / 336574
GCD(829, 406) = 336574 / 336574
GCD(829, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
GCD of 829, 406, 58, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 406, 58, 311?
GCD of 829, 406, 58, 311 is 1
2. Where do I get the detailed procedure to find GCD of 829, 406, 58, 311?
You can find a detailed procedure to find GCD of 829, 406, 58, 311 on our page.
3. How to find GCD of 829, 406, 58, 311 on a calculator?
You can find the GCD of 829, 406, 58, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.