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 363, 684, 79, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 684, 79, 843 is 1
GCD(363, 684, 79, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 684, 79, 843 is 1
GCD(363, 684, 79, 843) = 1
Given Input numbers are 363, 684, 79, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 363, 684, 79, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 684, 79, 843 is 1.
Therefore, GCD of numbers 363, 684, 79, 843 is 1
Given Input Data is 363, 684, 79, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 79 is 79
Prime Factorization of 843 is 3 x 281
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(363, 684) = 82764
GCD(363, 684) = ( 363 x 684 ) / 82764
GCD(363, 684) = 248292 / 82764
GCD(363, 684) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 79) = 237
GCD(3, 79) = ( 3 x 79 ) / 237
GCD(3, 79) = 237 / 237
GCD(3, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 363, 684, 79, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 684, 79, 843?
GCD of 363, 684, 79, 843 is 1
2. Where do I get the detailed procedure to find GCD of 363, 684, 79, 843?
You can find a detailed procedure to find GCD of 363, 684, 79, 843 on our page.
3. How to find GCD of 363, 684, 79, 843 on a calculator?
You can find the GCD of 363, 684, 79, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.