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, 115, 332, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 115, 332, 787 is 1
GCD(829, 115, 332, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 115, 332, 787 is 1
GCD(829, 115, 332, 787) = 1
Given Input numbers are 829, 115, 332, 787
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 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 829, 115, 332, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 115, 332, 787 is 1.
Therefore, GCD of numbers 829, 115, 332, 787 is 1
Given Input Data is 829, 115, 332, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 115 is 5 x 23
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 787 is 787
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, 115) = 95335
GCD(829, 115) = ( 829 x 115 ) / 95335
GCD(829, 115) = 95335 / 95335
GCD(829, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 829, 115, 332, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 115, 332, 787?
GCD of 829, 115, 332, 787 is 1
2. Where do I get the detailed procedure to find GCD of 829, 115, 332, 787?
You can find a detailed procedure to find GCD of 829, 115, 332, 787 on our page.
3. How to find GCD of 829, 115, 332, 787 on a calculator?
You can find the GCD of 829, 115, 332, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.