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, 591, 36, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 591, 36, 207 is 1
GCD(221, 591, 36, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 591, 36, 207 is 1
GCD(221, 591, 36, 207) = 1
Given Input numbers are 221, 591, 36, 207
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 221, 591, 36, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 591, 36, 207 is 1.
Therefore, GCD of numbers 221, 591, 36, 207 is 1
Given Input Data is 221, 591, 36, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 591 is 3 x 197
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 207 is 3 x 3 x 23
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, 591) = 130611
GCD(221, 591) = ( 221 x 591 ) / 130611
GCD(221, 591) = 130611 / 130611
GCD(221, 591) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
GCD of 221, 591, 36, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 591, 36, 207?
GCD of 221, 591, 36, 207 is 1
2. Where do I get the detailed procedure to find GCD of 221, 591, 36, 207?
You can find a detailed procedure to find GCD of 221, 591, 36, 207 on our page.
3. How to find GCD of 221, 591, 36, 207 on a calculator?
You can find the GCD of 221, 591, 36, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.