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, 591, 57, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 591, 57, 271 is 1
GCD(322, 591, 57, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 591, 57, 271 is 1
GCD(322, 591, 57, 271) = 1
Given Input numbers are 322, 591, 57, 271
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 322, 591, 57, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 591, 57, 271 is 1.
Therefore, GCD of numbers 322, 591, 57, 271 is 1
Given Input Data is 322, 591, 57, 271
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 591 is 3 x 197
Prime Factorization of 57 is 3 x 19
Prime Factorization of 271 is 271
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, 591) = 190302
GCD(322, 591) = ( 322 x 591 ) / 190302
GCD(322, 591) = 190302 / 190302
GCD(322, 591) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 322, 591, 57, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 591, 57, 271?
GCD of 322, 591, 57, 271 is 1
2. Where do I get the detailed procedure to find GCD of 322, 591, 57, 271?
You can find a detailed procedure to find GCD of 322, 591, 57, 271 on our page.
3. How to find GCD of 322, 591, 57, 271 on a calculator?
You can find the GCD of 322, 591, 57, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.