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 205, 604, 329, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 205, 604, 329, 625 is 1
GCD(205, 604, 329, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 205, 604, 329, 625 is 1
GCD(205, 604, 329, 625) = 1
Given Input numbers are 205, 604, 329, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 205, 604, 329, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 604, 329, 625 is 1.
Therefore, GCD of numbers 205, 604, 329, 625 is 1
Given Input Data is 205, 604, 329, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 205 is 5 x 41
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 329 is 7 x 47
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(205, 604) = 123820
GCD(205, 604) = ( 205 x 604 ) / 123820
GCD(205, 604) = 123820 / 123820
GCD(205, 604) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 205, 604, 329, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 205, 604, 329, 625?
GCD of 205, 604, 329, 625 is 1
2. Where do I get the detailed procedure to find GCD of 205, 604, 329, 625?
You can find a detailed procedure to find GCD of 205, 604, 329, 625 on our page.
3. How to find GCD of 205, 604, 329, 625 on a calculator?
You can find the GCD of 205, 604, 329, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.