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 221, 571, 574, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 571, 574, 381 is 1
GCD(221, 571, 574, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 571, 574, 381 is 1
GCD(221, 571, 574, 381) = 1
Given Input numbers are 221, 571, 574, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 221, 571, 574, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 571, 574, 381 is 1.
Therefore, GCD of numbers 221, 571, 574, 381 is 1
Given Input Data is 221, 571, 574, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 571 is 571
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 381 is 3 x 127
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(221, 571) = 126191
GCD(221, 571) = ( 221 x 571 ) / 126191
GCD(221, 571) = 126191 / 126191
GCD(221, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 221, 571, 574, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 571, 574, 381?
GCD of 221, 571, 574, 381 is 1
2. Where do I get the detailed procedure to find GCD of 221, 571, 574, 381?
You can find a detailed procedure to find GCD of 221, 571, 574, 381 on our page.
3. How to find GCD of 221, 571, 574, 381 on a calculator?
You can find the GCD of 221, 571, 574, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.