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 822, 219, 169, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 219, 169, 333 is 1
GCD(822, 219, 169, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 219, 169, 333 is 1
GCD(822, 219, 169, 333) = 1
Given Input numbers are 822, 219, 169, 333
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Greatest Common Divisior
We found the divisors of 822, 219, 169, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 219, 169, 333 is 1.
Therefore, GCD of numbers 822, 219, 169, 333 is 1
Given Input Data is 822, 219, 169, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 219 is 3 x 73
Prime Factorization of 169 is 13 x 13
Prime Factorization of 333 is 3 x 3 x 37
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(822, 219) = 60006
GCD(822, 219) = ( 822 x 219 ) / 60006
GCD(822, 219) = 180018 / 60006
GCD(822, 219) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 169) = 507
GCD(3, 169) = ( 3 x 169 ) / 507
GCD(3, 169) = 507 / 507
GCD(3, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 333) = 333
GCD(1, 333) = ( 1 x 333 ) / 333
GCD(1, 333) = 333 / 333
GCD(1, 333) = 1
GCD of 822, 219, 169, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 219, 169, 333?
GCD of 822, 219, 169, 333 is 1
2. Where do I get the detailed procedure to find GCD of 822, 219, 169, 333?
You can find a detailed procedure to find GCD of 822, 219, 169, 333 on our page.
3. How to find GCD of 822, 219, 169, 333 on a calculator?
You can find the GCD of 822, 219, 169, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.