GCD of 681, 225, 543 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 681, 225, 543 i.e. 3 largest integer that divides all the numbers equally.

GCD of 681, 225, 543 is 3

GCD(681, 225, 543) = 3

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

GCD of

GCD of numbers 681, 225, 543 is 3

GCD(681, 225, 543) = 3

GCD of 681,225,543 Calculator

GCDof 681,225,543 is 3

Given Input numbers are 681, 225, 543

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 681, 225, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 225, 543 is 3.

Therefore, GCD of numbers 681, 225, 543 is 3

Finding GCD of 681, 225, 543 using Prime Factorization

Given Input Data is 681, 225, 543

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 543 is 3 x 181

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 681, 225, 543 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(681, 225) = 51075

GCD(681, 225) = ( 681 x 225 ) / 51075

GCD(681, 225) = 153225 / 51075

GCD(681, 225) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

GCD of 681, 225, 543 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 681, 225, 543

1. What is the GCD of 681, 225, 543?

GCD of 681, 225, 543 is 3


2. Where do I get the detailed procedure to find GCD of 681, 225, 543?

You can find a detailed procedure to find GCD of 681, 225, 543 on our page.


3. How to find GCD of 681, 225, 543 on a calculator?

You can find the GCD of 681, 225, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.