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 406, 131, 376, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 406, 131, 376, 829 is 1
GCD(406, 131, 376, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 406, 131, 376, 829 is 1
GCD(406, 131, 376, 829) = 1
Given Input numbers are 406, 131, 376, 829
To find the GCD of numbers using factoring list out all the divisors of each number
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 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 406, 131, 376, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 131, 376, 829 is 1.
Therefore, GCD of numbers 406, 131, 376, 829 is 1
Given Input Data is 406, 131, 376, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 131 is 131
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 829 is 829
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(406, 131) = 53186
GCD(406, 131) = ( 406 x 131 ) / 53186
GCD(406, 131) = 53186 / 53186
GCD(406, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 406, 131, 376, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 406, 131, 376, 829?
GCD of 406, 131, 376, 829 is 1
2. Where do I get the detailed procedure to find GCD of 406, 131, 376, 829?
You can find a detailed procedure to find GCD of 406, 131, 376, 829 on our page.
3. How to find GCD of 406, 131, 376, 829 on a calculator?
You can find the GCD of 406, 131, 376, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.