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 810, 843, 29, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 843, 29, 234 is 1
GCD(810, 843, 29, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 843, 29, 234 is 1
GCD(810, 843, 29, 234) = 1
Given Input numbers are 810, 843, 29, 234
To find the GCD of numbers using factoring list out all the divisors of each number
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 810, 843, 29, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 843, 29, 234 is 1.
Therefore, GCD of numbers 810, 843, 29, 234 is 1
Given Input Data is 810, 843, 29, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 843 is 3 x 281
Prime Factorization of 29 is 29
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(810, 843) = 227610
GCD(810, 843) = ( 810 x 843 ) / 227610
GCD(810, 843) = 682830 / 227610
GCD(810, 843) = 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 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 810, 843, 29, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 843, 29, 234?
GCD of 810, 843, 29, 234 is 1
2. Where do I get the detailed procedure to find GCD of 810, 843, 29, 234?
You can find a detailed procedure to find GCD of 810, 843, 29, 234 on our page.
3. How to find GCD of 810, 843, 29, 234 on a calculator?
You can find the GCD of 810, 843, 29, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.