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 813, 234, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 234, 802 is 1
GCD(813, 234, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 234, 802 is 1
GCD(813, 234, 802) = 1
Given Input numbers are 813, 234, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
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
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 813, 234, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 234, 802 is 1.
Therefore, GCD of numbers 813, 234, 802 is 1
Given Input Data is 813, 234, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 802 is 2 x 401
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(813, 234) = 63414
GCD(813, 234) = ( 813 x 234 ) / 63414
GCD(813, 234) = 190242 / 63414
GCD(813, 234) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
GCD(3, 802) = 2406 / 2406
GCD(3, 802) = 1
GCD of 813, 234, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 234, 802?
GCD of 813, 234, 802 is 1
2. Where do I get the detailed procedure to find GCD of 813, 234, 802?
You can find a detailed procedure to find GCD of 813, 234, 802 on our page.
3. How to find GCD of 813, 234, 802 on a calculator?
You can find the GCD of 813, 234, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.