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 204, 602, 197, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 602, 197, 921 is 1
GCD(204, 602, 197, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 602, 197, 921 is 1
GCD(204, 602, 197, 921) = 1
Given Input numbers are 204, 602, 197, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 204, 602, 197, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 602, 197, 921 is 1.
Therefore, GCD of numbers 204, 602, 197, 921 is 1
Given Input Data is 204, 602, 197, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 197 is 197
Prime Factorization of 921 is 3 x 307
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(204, 602) = 61404
GCD(204, 602) = ( 204 x 602 ) / 61404
GCD(204, 602) = 122808 / 61404
GCD(204, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 197) = 394
GCD(2, 197) = ( 2 x 197 ) / 394
GCD(2, 197) = 394 / 394
GCD(2, 197) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 204, 602, 197, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 602, 197, 921?
GCD of 204, 602, 197, 921 is 1
2. Where do I get the detailed procedure to find GCD of 204, 602, 197, 921?
You can find a detailed procedure to find GCD of 204, 602, 197, 921 on our page.
3. How to find GCD of 204, 602, 197, 921 on a calculator?
You can find the GCD of 204, 602, 197, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.