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 591, 271, 200, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 271, 200, 388 is 1
GCD(591, 271, 200, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 271, 200, 388 is 1
GCD(591, 271, 200, 388) = 1
Given Input numbers are 591, 271, 200, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 591, 271, 200, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 271, 200, 388 is 1.
Therefore, GCD of numbers 591, 271, 200, 388 is 1
Given Input Data is 591, 271, 200, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 271 is 271
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 388 is 2 x 2 x 97
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(591, 271) = 160161
GCD(591, 271) = ( 591 x 271 ) / 160161
GCD(591, 271) = 160161 / 160161
GCD(591, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 591, 271, 200, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 271, 200, 388?
GCD of 591, 271, 200, 388 is 1
2. Where do I get the detailed procedure to find GCD of 591, 271, 200, 388?
You can find a detailed procedure to find GCD of 591, 271, 200, 388 on our page.
3. How to find GCD of 591, 271, 200, 388 on a calculator?
You can find the GCD of 591, 271, 200, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.