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 28, 322, 331, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 322, 331, 110 is 1
GCD(28, 322, 331, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 322, 331, 110 is 1
GCD(28, 322, 331, 110) = 1
Given Input numbers are 28, 322, 331, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 28, 322, 331, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 322, 331, 110 is 1.
Therefore, GCD of numbers 28, 322, 331, 110 is 1
Given Input Data is 28, 322, 331, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 331 is 331
Prime Factorization of 110 is 2 x 5 x 11
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(28, 322) = 644
GCD(28, 322) = ( 28 x 322 ) / 644
GCD(28, 322) = 9016 / 644
GCD(28, 322) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 331) = 4634
GCD(14, 331) = ( 14 x 331 ) / 4634
GCD(14, 331) = 4634 / 4634
GCD(14, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 28, 322, 331, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 322, 331, 110?
GCD of 28, 322, 331, 110 is 1
2. Where do I get the detailed procedure to find GCD of 28, 322, 331, 110?
You can find a detailed procedure to find GCD of 28, 322, 331, 110 on our page.
3. How to find GCD of 28, 322, 331, 110 on a calculator?
You can find the GCD of 28, 322, 331, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.