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 310, 155, 556, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 155, 556, 843 is 1
GCD(310, 155, 556, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 155, 556, 843 is 1
GCD(310, 155, 556, 843) = 1
Given Input numbers are 310, 155, 556, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
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 310, 155, 556, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 155, 556, 843 is 1.
Therefore, GCD of numbers 310, 155, 556, 843 is 1
Given Input Data is 310, 155, 556, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 155 is 5 x 31
Prime Factorization of 556 is 2 x 2 x 139
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(310, 155) = 310
GCD(310, 155) = ( 310 x 155 ) / 310
GCD(310, 155) = 48050 / 310
GCD(310, 155) = 155
Step2:
Here we consider the GCD from the above i.e. 155 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(155, 556) = 86180
GCD(155, 556) = ( 155 x 556 ) / 86180
GCD(155, 556) = 86180 / 86180
GCD(155, 556) = 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 310, 155, 556, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 155, 556, 843?
GCD of 310, 155, 556, 843 is 1
2. Where do I get the detailed procedure to find GCD of 310, 155, 556, 843?
You can find a detailed procedure to find GCD of 310, 155, 556, 843 on our page.
3. How to find GCD of 310, 155, 556, 843 on a calculator?
You can find the GCD of 310, 155, 556, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.