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, 338, 123, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 338, 123, 993 is 1
GCD(829, 338, 123, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 338, 123, 993 is 1
GCD(829, 338, 123, 993) = 1
Given Input numbers are 829, 338, 123, 993
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 829, 338, 123, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 338, 123, 993 is 1.
Therefore, GCD of numbers 829, 338, 123, 993 is 1
Given Input Data is 829, 338, 123, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 123 is 3 x 41
Prime Factorization of 993 is 3 x 331
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, 338) = 280202
GCD(829, 338) = ( 829 x 338 ) / 280202
GCD(829, 338) = 280202 / 280202
GCD(829, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 829, 338, 123, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 338, 123, 993?
GCD of 829, 338, 123, 993 is 1
2. Where do I get the detailed procedure to find GCD of 829, 338, 123, 993?
You can find a detailed procedure to find GCD of 829, 338, 123, 993 on our page.
3. How to find GCD of 829, 338, 123, 993 on a calculator?
You can find the GCD of 829, 338, 123, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.