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 818, 214, 484, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 818, 214, 484, 821 is 1
GCD(818, 214, 484, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 214, 484, 821 is 1
GCD(818, 214, 484, 821) = 1
Given Input numbers are 818, 214, 484, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 818, 214, 484, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 214, 484, 821 is 1.
Therefore, GCD of numbers 818, 214, 484, 821 is 1
Given Input Data is 818, 214, 484, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 214 is 2 x 107
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 821 is 821
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(818, 214) = 87526
GCD(818, 214) = ( 818 x 214 ) / 87526
GCD(818, 214) = 175052 / 87526
GCD(818, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
GCD(2, 484) = 968 / 484
GCD(2, 484) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
GCD of 818, 214, 484, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 214, 484, 821?
GCD of 818, 214, 484, 821 is 1
2. Where do I get the detailed procedure to find GCD of 818, 214, 484, 821?
You can find a detailed procedure to find GCD of 818, 214, 484, 821 on our page.
3. How to find GCD of 818, 214, 484, 821 on a calculator?
You can find the GCD of 818, 214, 484, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.