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, 476, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 476, 221 is 1
GCD(591, 476, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 476, 221 is 1
GCD(591, 476, 221) = 1
Given Input numbers are 591, 476, 221
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 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 591, 476, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 476, 221 is 1.
Therefore, GCD of numbers 591, 476, 221 is 1
Given Input Data is 591, 476, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 221 is 13 x 17
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, 476) = 281316
GCD(591, 476) = ( 591 x 476 ) / 281316
GCD(591, 476) = 281316 / 281316
GCD(591, 476) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 591, 476, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 476, 221?
GCD of 591, 476, 221 is 1
2. Where do I get the detailed procedure to find GCD of 591, 476, 221?
You can find a detailed procedure to find GCD of 591, 476, 221 on our page.
3. How to find GCD of 591, 476, 221 on a calculator?
You can find the GCD of 591, 476, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.