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, 303, 722, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 303, 722, 322 is 1
GCD(822, 303, 722, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 303, 722, 322 is 1
GCD(822, 303, 722, 322) = 1
Given Input numbers are 822, 303, 722, 322
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 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 822, 303, 722, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 303, 722, 322 is 1.
Therefore, GCD of numbers 822, 303, 722, 322 is 1
Given Input Data is 822, 303, 722, 322
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 303 is 3 x 101
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 322 is 2 x 7 x 23
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, 303) = 83022
GCD(822, 303) = ( 822 x 303 ) / 83022
GCD(822, 303) = 249066 / 83022
GCD(822, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 722) = 2166
GCD(3, 722) = ( 3 x 722 ) / 2166
GCD(3, 722) = 2166 / 2166
GCD(3, 722) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 822, 303, 722, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 303, 722, 322?
GCD of 822, 303, 722, 322 is 1
2. Where do I get the detailed procedure to find GCD of 822, 303, 722, 322?
You can find a detailed procedure to find GCD of 822, 303, 722, 322 on our page.
3. How to find GCD of 822, 303, 722, 322 on a calculator?
You can find the GCD of 822, 303, 722, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.