GCD of 221, 309, 617 Calculator

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

GCD of numbers 221, 309, 617 is 1

GCD(221, 309, 617) = 1

GCD of 221,309,617 Calculator

GCDof 221,309,617 is 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

Finding GCD of 221, 309, 617 using Prime Factorization

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

Finding GCD of 221, 309, 617 using LCM Formula

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

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 221, 309, 617

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.