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 843, 274, 684, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 274, 684, 723 is 1
GCD(843, 274, 684, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 274, 684, 723 is 1
GCD(843, 274, 684, 723) = 1
Given Input numbers are 843, 274, 684, 723
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
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 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 843, 274, 684, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 274, 684, 723 is 1.
Therefore, GCD of numbers 843, 274, 684, 723 is 1
Given Input Data is 843, 274, 684, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 274 is 2 x 137
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 723 is 3 x 241
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(843, 274) = 230982
GCD(843, 274) = ( 843 x 274 ) / 230982
GCD(843, 274) = 230982 / 230982
GCD(843, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
GCD of 843, 274, 684, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 274, 684, 723?
GCD of 843, 274, 684, 723 is 1
2. Where do I get the detailed procedure to find GCD of 843, 274, 684, 723?
You can find a detailed procedure to find GCD of 843, 274, 684, 723 on our page.
3. How to find GCD of 843, 274, 684, 723 on a calculator?
You can find the GCD of 843, 274, 684, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.