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 194, 489, 209, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 194, 489, 209, 652 is 1
GCD(194, 489, 209, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 194, 489, 209, 652 is 1
GCD(194, 489, 209, 652) = 1
Given Input numbers are 194, 489, 209, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 194, 489, 209, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 489, 209, 652 is 1.
Therefore, GCD of numbers 194, 489, 209, 652 is 1
Given Input Data is 194, 489, 209, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 194 is 2 x 97
Prime Factorization of 489 is 3 x 163
Prime Factorization of 209 is 11 x 19
Prime Factorization of 652 is 2 x 2 x 163
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(194, 489) = 94866
GCD(194, 489) = ( 194 x 489 ) / 94866
GCD(194, 489) = 94866 / 94866
GCD(194, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 194, 489, 209, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 194, 489, 209, 652?
GCD of 194, 489, 209, 652 is 1
2. Where do I get the detailed procedure to find GCD of 194, 489, 209, 652?
You can find a detailed procedure to find GCD of 194, 489, 209, 652 on our page.
3. How to find GCD of 194, 489, 209, 652 on a calculator?
You can find the GCD of 194, 489, 209, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.