GCD of 387, 609, 63, 261 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 387, 609, 63, 261 i.e. 3 largest integer that divides all the numbers equally.

GCD of 387, 609, 63, 261 is 3

GCD(387, 609, 63, 261) = 3

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

GCD of

GCD of numbers 387, 609, 63, 261 is 3

GCD(387, 609, 63, 261) = 3

GCD of 387,609,63,261 Calculator

GCDof 387,609,63,261 is 3

Given Input numbers are 387, 609, 63, 261

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 387, 609, 63, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 609, 63, 261 is 3.

Therefore, GCD of numbers 387, 609, 63, 261 is 3

Finding GCD of 387, 609, 63, 261 using Prime Factorization

Given Input Data is 387, 609, 63, 261

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 261 is 3 x 3 x 29

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 387, 609, 63, 261 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(387, 609) = 78561

GCD(387, 609) = ( 387 x 609 ) / 78561

GCD(387, 609) = 235683 / 78561

GCD(387, 609) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 387, 609, 63, 261 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 609, 63, 261

1. What is the GCD of 387, 609, 63, 261?

GCD of 387, 609, 63, 261 is 3


2. Where do I get the detailed procedure to find GCD of 387, 609, 63, 261?

You can find a detailed procedure to find GCD of 387, 609, 63, 261 on our page.


3. How to find GCD of 387, 609, 63, 261 on a calculator?

You can find the GCD of 387, 609, 63, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.