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 402, 829, 23, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 829, 23, 676 is 1
GCD(402, 829, 23, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 829, 23, 676 is 1
GCD(402, 829, 23, 676) = 1
Given Input numbers are 402, 829, 23, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 402, 829, 23, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 829, 23, 676 is 1.
Therefore, GCD of numbers 402, 829, 23, 676 is 1
Given Input Data is 402, 829, 23, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 829 is 829
Prime Factorization of 23 is 23
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(402, 829) = 333258
GCD(402, 829) = ( 402 x 829 ) / 333258
GCD(402, 829) = 333258 / 333258
GCD(402, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 402, 829, 23, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 829, 23, 676?
GCD of 402, 829, 23, 676 is 1
2. Where do I get the detailed procedure to find GCD of 402, 829, 23, 676?
You can find a detailed procedure to find GCD of 402, 829, 23, 676 on our page.
3. How to find GCD of 402, 829, 23, 676 on a calculator?
You can find the GCD of 402, 829, 23, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.