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 489, 152, 27, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 152, 27, 541 is 1
GCD(489, 152, 27, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 152, 27, 541 is 1
GCD(489, 152, 27, 541) = 1
Given Input numbers are 489, 152, 27, 541
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 489, 152, 27, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 152, 27, 541 is 1.
Therefore, GCD of numbers 489, 152, 27, 541 is 1
Given Input Data is 489, 152, 27, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 541 is 541
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(489, 152) = 74328
GCD(489, 152) = ( 489 x 152 ) / 74328
GCD(489, 152) = 74328 / 74328
GCD(489, 152) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 541) = 541
GCD(1, 541) = ( 1 x 541 ) / 541
GCD(1, 541) = 541 / 541
GCD(1, 541) = 1
GCD of 489, 152, 27, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 152, 27, 541?
GCD of 489, 152, 27, 541 is 1
2. Where do I get the detailed procedure to find GCD of 489, 152, 27, 541?
You can find a detailed procedure to find GCD of 489, 152, 27, 541 on our page.
3. How to find GCD of 489, 152, 27, 541 on a calculator?
You can find the GCD of 489, 152, 27, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.