GCD of 867, 171, 229 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 867, 171, 229 i.e. 1 largest integer that divides all the numbers equally.

GCD of 867, 171, 229 is 1

GCD(867, 171, 229) = 1

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

GCD of

GCD of numbers 867, 171, 229 is 1

GCD(867, 171, 229) = 1

GCD of 867,171,229 Calculator

GCDof 867,171,229 is 1

Given Input numbers are 867, 171, 229

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 867, 171, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 171, 229 is 1.

Therefore, GCD of numbers 867, 171, 229 is 1

Finding GCD of 867, 171, 229 using Prime Factorization

Given Input Data is 867, 171, 229

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 229 is 229

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

Finding GCD of 867, 171, 229 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(867, 171) = 49419

GCD(867, 171) = ( 867 x 171 ) / 49419

GCD(867, 171) = 148257 / 49419

GCD(867, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 229

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

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

GCD(3, 229) = 687 / 687

GCD(3, 229) = 1

GCD of 867, 171, 229 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 867, 171, 229

1. What is the GCD of 867, 171, 229?

GCD of 867, 171, 229 is 1

2. Where do I get the detailed procedure to find GCD of 867, 171, 229?

You can find a detailed procedure to find GCD of 867, 171, 229 on our page.

3. How to find GCD of 867, 171, 229 on a calculator?

You can find the GCD of 867, 171, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.