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, 366, 34, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 366, 34, 678 is 1
GCD(843, 366, 34, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 366, 34, 678 is 1
GCD(843, 366, 34, 678) = 1
Given Input numbers are 843, 366, 34, 678
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 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 843, 366, 34, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 366, 34, 678 is 1.
Therefore, GCD of numbers 843, 366, 34, 678 is 1
Given Input Data is 843, 366, 34, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 34 is 2 x 17
Prime Factorization of 678 is 2 x 3 x 113
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, 366) = 102846
GCD(843, 366) = ( 843 x 366 ) / 102846
GCD(843, 366) = 308538 / 102846
GCD(843, 366) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 34) = 102
GCD(3, 34) = ( 3 x 34 ) / 102
GCD(3, 34) = 102 / 102
GCD(3, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 843, 366, 34, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 366, 34, 678?
GCD of 843, 366, 34, 678 is 1
2. Where do I get the detailed procedure to find GCD of 843, 366, 34, 678?
You can find a detailed procedure to find GCD of 843, 366, 34, 678 on our page.
3. How to find GCD of 843, 366, 34, 678 on a calculator?
You can find the GCD of 843, 366, 34, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.