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, 678, 284, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 678, 284, 646 is 1
GCD(813, 678, 284, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 678, 284, 646 is 1
GCD(813, 678, 284, 646) = 1
Given Input numbers are 813, 678, 284, 646
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 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 813, 678, 284, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 678, 284, 646 is 1.
Therefore, GCD of numbers 813, 678, 284, 646 is 1
Given Input Data is 813, 678, 284, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 646 is 2 x 17 x 19
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, 678) = 183738
GCD(813, 678) = ( 813 x 678 ) / 183738
GCD(813, 678) = 551214 / 183738
GCD(813, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 284) = 852
GCD(3, 284) = ( 3 x 284 ) / 852
GCD(3, 284) = 852 / 852
GCD(3, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 813, 678, 284, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 678, 284, 646?
GCD of 813, 678, 284, 646 is 1
2. Where do I get the detailed procedure to find GCD of 813, 678, 284, 646?
You can find a detailed procedure to find GCD of 813, 678, 284, 646 on our page.
3. How to find GCD of 813, 678, 284, 646 on a calculator?
You can find the GCD of 813, 678, 284, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.