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 327, 810, 72, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 810, 72, 529 is 1
GCD(327, 810, 72, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 810, 72, 529 is 1
GCD(327, 810, 72, 529) = 1
Given Input numbers are 327, 810, 72, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 327, 810, 72, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 810, 72, 529 is 1.
Therefore, GCD of numbers 327, 810, 72, 529 is 1
Given Input Data is 327, 810, 72, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 529 is 23 x 23
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(327, 810) = 88290
GCD(327, 810) = ( 327 x 810 ) / 88290
GCD(327, 810) = 264870 / 88290
GCD(327, 810) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 529) = 1587
GCD(3, 529) = ( 3 x 529 ) / 1587
GCD(3, 529) = 1587 / 1587
GCD(3, 529) = 1
GCD of 327, 810, 72, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 810, 72, 529?
GCD of 327, 810, 72, 529 is 1
2. Where do I get the detailed procedure to find GCD of 327, 810, 72, 529?
You can find a detailed procedure to find GCD of 327, 810, 72, 529 on our page.
3. How to find GCD of 327, 810, 72, 529 on a calculator?
You can find the GCD of 327, 810, 72, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.