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, 276, 29, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 276, 29, 231 is 1
GCD(489, 276, 29, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 276, 29, 231 is 1
GCD(489, 276, 29, 231) = 1
Given Input numbers are 489, 276, 29, 231
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 489, 276, 29, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 276, 29, 231 is 1.
Therefore, GCD of numbers 489, 276, 29, 231 is 1
Given Input Data is 489, 276, 29, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 29 is 29
Prime Factorization of 231 is 3 x 7 x 11
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, 276) = 44988
GCD(489, 276) = ( 489 x 276 ) / 44988
GCD(489, 276) = 134964 / 44988
GCD(489, 276) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 29) = 87
GCD(3, 29) = ( 3 x 29 ) / 87
GCD(3, 29) = 87 / 87
GCD(3, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 489, 276, 29, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 276, 29, 231?
GCD of 489, 276, 29, 231 is 1
2. Where do I get the detailed procedure to find GCD of 489, 276, 29, 231?
You can find a detailed procedure to find GCD of 489, 276, 29, 231 on our page.
3. How to find GCD of 489, 276, 29, 231 on a calculator?
You can find the GCD of 489, 276, 29, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.