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, 753, 55, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 753, 55, 328 is 1
GCD(822, 753, 55, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 753, 55, 328 is 1
GCD(822, 753, 55, 328) = 1
Given Input numbers are 822, 753, 55, 328
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 822, 753, 55, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 753, 55, 328 is 1.
Therefore, GCD of numbers 822, 753, 55, 328 is 1
Given Input Data is 822, 753, 55, 328
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 753 is 3 x 251
Prime Factorization of 55 is 5 x 11
Prime Factorization of 328 is 2 x 2 x 2 x 41
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, 753) = 206322
GCD(822, 753) = ( 822 x 753 ) / 206322
GCD(822, 753) = 618966 / 206322
GCD(822, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 822, 753, 55, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 753, 55, 328?
GCD of 822, 753, 55, 328 is 1
2. Where do I get the detailed procedure to find GCD of 822, 753, 55, 328?
You can find a detailed procedure to find GCD of 822, 753, 55, 328 on our page.
3. How to find GCD of 822, 753, 55, 328 on a calculator?
You can find the GCD of 822, 753, 55, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.