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, 330, 348, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 330, 348, 712 is 1
GCD(829, 330, 348, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 330, 348, 712 is 1
GCD(829, 330, 348, 712) = 1
Given Input numbers are 829, 330, 348, 712
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 829, 330, 348, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 330, 348, 712 is 1.
Therefore, GCD of numbers 829, 330, 348, 712 is 1
Given Input Data is 829, 330, 348, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 712 is 2 x 2 x 2 x 89
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, 330) = 273570
GCD(829, 330) = ( 829 x 330 ) / 273570
GCD(829, 330) = 273570 / 273570
GCD(829, 330) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
GCD of 829, 330, 348, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 330, 348, 712?
GCD of 829, 330, 348, 712 is 1
2. Where do I get the detailed procedure to find GCD of 829, 330, 348, 712?
You can find a detailed procedure to find GCD of 829, 330, 348, 712 on our page.
3. How to find GCD of 829, 330, 348, 712 on a calculator?
You can find the GCD of 829, 330, 348, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.