GCD of 327, 246, 21, 882 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 327, 246, 21, 882 i.e. 3 largest integer that divides all the numbers equally.

GCD of 327, 246, 21, 882 is 3

GCD(327, 246, 21, 882) = 3

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

GCD of

GCD of numbers 327, 246, 21, 882 is 3

GCD(327, 246, 21, 882) = 3

GCD of 327,246,21,882 Calculator

GCDof 327,246,21,882 is 3

Given Input numbers are 327, 246, 21, 882

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 327, 246, 21, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 246, 21, 882 is 3.

Therefore, GCD of numbers 327, 246, 21, 882 is 3

Finding GCD of 327, 246, 21, 882 using Prime Factorization

Given Input Data is 327, 246, 21, 882

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 21 is 3 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 327, 246, 21, 882 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(327, 246) = 26814

GCD(327, 246) = ( 327 x 246 ) / 26814

GCD(327, 246) = 80442 / 26814

GCD(327, 246) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

GCD of 327, 246, 21, 882 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 327, 246, 21, 882

1. What is the GCD of 327, 246, 21, 882?

GCD of 327, 246, 21, 882 is 3


2. Where do I get the detailed procedure to find GCD of 327, 246, 21, 882?

You can find a detailed procedure to find GCD of 327, 246, 21, 882 on our page.


3. How to find GCD of 327, 246, 21, 882 on a calculator?

You can find the GCD of 327, 246, 21, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.