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 459, 327, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 327, 769 is 1
GCD(459, 327, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 327, 769 is 1
GCD(459, 327, 769) = 1
Given Input numbers are 459, 327, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 459, 327, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 327, 769 is 1.
Therefore, GCD of numbers 459, 327, 769 is 1
Given Input Data is 459, 327, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 327 is 3 x 109
Prime Factorization of 769 is 769
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(459, 327) = 50031
GCD(459, 327) = ( 459 x 327 ) / 50031
GCD(459, 327) = 150093 / 50031
GCD(459, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 769) = 2307
GCD(3, 769) = ( 3 x 769 ) / 2307
GCD(3, 769) = 2307 / 2307
GCD(3, 769) = 1
GCD of 459, 327, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 327, 769?
GCD of 459, 327, 769 is 1
2. Where do I get the detailed procedure to find GCD of 459, 327, 769?
You can find a detailed procedure to find GCD of 459, 327, 769 on our page.
3. How to find GCD of 459, 327, 769 on a calculator?
You can find the GCD of 459, 327, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.