GCD of 217, 325, 108 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 217, 325, 108 i.e. 1 largest integer that divides all the numbers equally.

GCD of 217, 325, 108 is 1

GCD(217, 325, 108) = 1

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

GCD of

GCD of numbers 217, 325, 108 is 1

GCD(217, 325, 108) = 1

GCD of 217,325,108 Calculator

GCDof 217,325,108 is 1

Given Input numbers are 217, 325, 108

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 217, 325, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 325, 108 is 1.

Therefore, GCD of numbers 217, 325, 108 is 1

Finding GCD of 217, 325, 108 using Prime Factorization

Given Input Data is 217, 325, 108

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Finding GCD of 217, 325, 108 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(217, 325) = 70525

GCD(217, 325) = ( 217 x 325 ) / 70525

GCD(217, 325) = 70525 / 70525

GCD(217, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 217, 325, 108 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 217, 325, 108

1. What is the GCD of 217, 325, 108?

GCD of 217, 325, 108 is 1

2. Where do I get the detailed procedure to find GCD of 217, 325, 108?

You can find a detailed procedure to find GCD of 217, 325, 108 on our page.

3. How to find GCD of 217, 325, 108 on a calculator?

You can find the GCD of 217, 325, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.