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 213, 630, 968, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 630, 968, 843 is 1
GCD(213, 630, 968, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 630, 968, 843 is 1
GCD(213, 630, 968, 843) = 1
Given Input numbers are 213, 630, 968, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 213, 630, 968, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 630, 968, 843 is 1.
Therefore, GCD of numbers 213, 630, 968, 843 is 1
Given Input Data is 213, 630, 968, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(213, 630) = 44730
GCD(213, 630) = ( 213 x 630 ) / 44730
GCD(213, 630) = 134190 / 44730
GCD(213, 630) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 968) = 2904
GCD(3, 968) = ( 3 x 968 ) / 2904
GCD(3, 968) = 2904 / 2904
GCD(3, 968) = 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 213, 630, 968, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 630, 968, 843?
GCD of 213, 630, 968, 843 is 1
2. Where do I get the detailed procedure to find GCD of 213, 630, 968, 843?
You can find a detailed procedure to find GCD of 213, 630, 968, 843 on our page.
3. How to find GCD of 213, 630, 968, 843 on a calculator?
You can find the GCD of 213, 630, 968, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.