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 195, 588, 539, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 588, 539, 489 is 1
GCD(195, 588, 539, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 588, 539, 489 is 1
GCD(195, 588, 539, 489) = 1
Given Input numbers are 195, 588, 539, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 195, 588, 539, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 588, 539, 489 is 1.
Therefore, GCD of numbers 195, 588, 539, 489 is 1
Given Input Data is 195, 588, 539, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 489 is 3 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(195, 588) = 38220
GCD(195, 588) = ( 195 x 588 ) / 38220
GCD(195, 588) = 114660 / 38220
GCD(195, 588) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 539) = 1617
GCD(3, 539) = ( 3 x 539 ) / 1617
GCD(3, 539) = 1617 / 1617
GCD(3, 539) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 195, 588, 539, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 588, 539, 489?
GCD of 195, 588, 539, 489 is 1
2. Where do I get the detailed procedure to find GCD of 195, 588, 539, 489?
You can find a detailed procedure to find GCD of 195, 588, 539, 489 on our page.
3. How to find GCD of 195, 588, 539, 489 on a calculator?
You can find the GCD of 195, 588, 539, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.