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, 975, 66, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 975, 66, 604 is 1
GCD(829, 975, 66, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 975, 66, 604 is 1
GCD(829, 975, 66, 604) = 1
Given Input numbers are 829, 975, 66, 604
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 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 829, 975, 66, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 975, 66, 604 is 1.
Therefore, GCD of numbers 829, 975, 66, 604 is 1
Given Input Data is 829, 975, 66, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 604 is 2 x 2 x 151
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, 975) = 808275
GCD(829, 975) = ( 829 x 975 ) / 808275
GCD(829, 975) = 808275 / 808275
GCD(829, 975) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 829, 975, 66, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 975, 66, 604?
GCD of 829, 975, 66, 604 is 1
2. Where do I get the detailed procedure to find GCD of 829, 975, 66, 604?
You can find a detailed procedure to find GCD of 829, 975, 66, 604 on our page.
3. How to find GCD of 829, 975, 66, 604 on a calculator?
You can find the GCD of 829, 975, 66, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.