GCD of 171, 831, 27 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 171, 831, 27 i.e. 3 largest integer that divides all the numbers equally.

GCD of 171, 831, 27 is 3

GCD(171, 831, 27) = 3

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

GCD of

GCD of numbers 171, 831, 27 is 3

GCD(171, 831, 27) = 3

GCD of 171,831,27 Calculator

GCDof 171,831,27 is 3

Given Input numbers are 171, 831, 27

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 171, 831, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 831, 27 is 3.

Therefore, GCD of numbers 171, 831, 27 is 3

Finding GCD of 171, 831, 27 using Prime Factorization

Given Input Data is 171, 831, 27

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 831 is 3 x 277

Prime Factorization of 27 is 3 x 3 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 171, 831, 27 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(171, 831) = 47367

GCD(171, 831) = ( 171 x 831 ) / 47367

GCD(171, 831) = 142101 / 47367

GCD(171, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

GCD of 171, 831, 27 is 3

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 171, 831, 27

1. What is the GCD of 171, 831, 27?

GCD of 171, 831, 27 is 3

2. Where do I get the detailed procedure to find GCD of 171, 831, 27?

You can find a detailed procedure to find GCD of 171, 831, 27 on our page.

3. How to find GCD of 171, 831, 27 on a calculator?

You can find the GCD of 171, 831, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.