GCD of 327, 109, 122 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 327, 109, 122 i.e. 1 largest integer that divides all the numbers equally.

GCD of 327, 109, 122 is 1

GCD(327, 109, 122) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 327, 109, 122 is 1

GCD(327, 109, 122) = 1

GCD of 327,109,122 Calculator

GCDof 327,109,122 is 1

Given Input numbers are 327, 109, 122

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 327, 109, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 109, 122 is 1.

Therefore, GCD of numbers 327, 109, 122 is 1

Finding GCD of 327, 109, 122 using Prime Factorization

Given Input Data is 327, 109, 122

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 327 is 3 x 109

Prime Factorization of 109 is 109

Prime Factorization of 122 is 2 x 61

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 327, 109, 122 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(327, 109) = 327

GCD(327, 109) = ( 327 x 109 ) / 327

GCD(327, 109) = 35643 / 327

GCD(327, 109) = 109

Step2:

Here we consider the GCD from the above i.e. 109 as first number and the next as 122

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(109, 122) = 13298

GCD(109, 122) = ( 109 x 122 ) / 13298

GCD(109, 122) = 13298 / 13298

GCD(109, 122) = 1

GCD of 327, 109, 122 is 1

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FAQs on GCD of numbers 327, 109, 122

1. What is the GCD of 327, 109, 122?

GCD of 327, 109, 122 is 1

2. Where do I get the detailed procedure to find GCD of 327, 109, 122?

You can find a detailed procedure to find GCD of 327, 109, 122 on our page.

3. How to find GCD of 327, 109, 122 on a calculator?

You can find the GCD of 327, 109, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.