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 322, 442, 51, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 442, 51, 468 is 1
GCD(322, 442, 51, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 442, 51, 468 is 1
GCD(322, 442, 51, 468) = 1
Given Input numbers are 322, 442, 51, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 322, 442, 51, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 442, 51, 468 is 1.
Therefore, GCD of numbers 322, 442, 51, 468 is 1
Given Input Data is 322, 442, 51, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 51 is 3 x 17
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(322, 442) = 71162
GCD(322, 442) = ( 322 x 442 ) / 71162
GCD(322, 442) = 142324 / 71162
GCD(322, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 322, 442, 51, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 442, 51, 468?
GCD of 322, 442, 51, 468 is 1
2. Where do I get the detailed procedure to find GCD of 322, 442, 51, 468?
You can find a detailed procedure to find GCD of 322, 442, 51, 468 on our page.
3. How to find GCD of 322, 442, 51, 468 on a calculator?
You can find the GCD of 322, 442, 51, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.