GCD of 291, 531, 342 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 291, 531, 342 i.e. 3 largest integer that divides all the numbers equally.

GCD of 291, 531, 342 is 3

GCD(291, 531, 342) = 3

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

GCD of

GCD of numbers 291, 531, 342 is 3

GCD(291, 531, 342) = 3

GCD of 291,531,342 Calculator

GCDof 291,531,342 is 3

Given Input numbers are 291, 531, 342

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 291, 531, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 531, 342 is 3.

Therefore, GCD of numbers 291, 531, 342 is 3

Finding GCD of 291, 531, 342 using Prime Factorization

Given Input Data is 291, 531, 342

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 342 is 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 291, 531, 342 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(291, 531) = 51507

GCD(291, 531) = ( 291 x 531 ) / 51507

GCD(291, 531) = 154521 / 51507

GCD(291, 531) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

GCD of 291, 531, 342 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 291, 531, 342

1. What is the GCD of 291, 531, 342?

GCD of 291, 531, 342 is 3


2. Where do I get the detailed procedure to find GCD of 291, 531, 342?

You can find a detailed procedure to find GCD of 291, 531, 342 on our page.


3. How to find GCD of 291, 531, 342 on a calculator?

You can find the GCD of 291, 531, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.