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 729, 195, 862, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 195, 862, 810 is 1
GCD(729, 195, 862, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 195, 862, 810 is 1
GCD(729, 195, 862, 810) = 1
Given Input numbers are 729, 195, 862, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
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
Greatest Common Divisior
We found the divisors of 729, 195, 862, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 195, 862, 810 is 1.
Therefore, GCD of numbers 729, 195, 862, 810 is 1
Given Input Data is 729, 195, 862, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 862 is 2 x 431
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(729, 195) = 47385
GCD(729, 195) = ( 729 x 195 ) / 47385
GCD(729, 195) = 142155 / 47385
GCD(729, 195) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 862) = 2586
GCD(3, 862) = ( 3 x 862 ) / 2586
GCD(3, 862) = 2586 / 2586
GCD(3, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 729, 195, 862, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 195, 862, 810?
GCD of 729, 195, 862, 810 is 1
2. Where do I get the detailed procedure to find GCD of 729, 195, 862, 810?
You can find a detailed procedure to find GCD of 729, 195, 862, 810 on our page.
3. How to find GCD of 729, 195, 862, 810 on a calculator?
You can find the GCD of 729, 195, 862, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.