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, 309, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 309, 617 is 1
GCD(221, 309, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 309, 617 is 1
GCD(221, 309, 617) = 1
Given Input numbers are 221, 309, 617
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 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 221, 309, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 309, 617 is 1.
Therefore, GCD of numbers 221, 309, 617 is 1
Given Input Data is 221, 309, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 309 is 3 x 103
Prime Factorization of 617 is 617
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, 309) = 68289
GCD(221, 309) = ( 221 x 309 ) / 68289
GCD(221, 309) = 68289 / 68289
GCD(221, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 221, 309, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 309, 617?
GCD of 221, 309, 617 is 1
2. Where do I get the detailed procedure to find GCD of 221, 309, 617?
You can find a detailed procedure to find GCD of 221, 309, 617 on our page.
3. How to find GCD of 221, 309, 617 on a calculator?
You can find the GCD of 221, 309, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.