GCD of 324, 906, 463, 726 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 324, 906, 463, 726 i.e. 1 largest integer that divides all the numbers equally.

GCD of 324, 906, 463, 726 is 1

GCD(324, 906, 463, 726) = 1

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

GCD of

GCD of numbers 324, 906, 463, 726 is 1

GCD(324, 906, 463, 726) = 1

GCD of 324,906,463,726 Calculator

GCDof 324,906,463,726 is 1

Given Input numbers are 324, 906, 463, 726

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 324, 906, 463, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 906, 463, 726 is 1.

Therefore, GCD of numbers 324, 906, 463, 726 is 1

Finding GCD of 324, 906, 463, 726 using Prime Factorization

Given Input Data is 324, 906, 463, 726

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 463 is 463

Prime Factorization of 726 is 2 x 3 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 324, 906, 463, 726 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(324, 906) = 48924

GCD(324, 906) = ( 324 x 906 ) / 48924

GCD(324, 906) = 293544 / 48924

GCD(324, 906) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 463

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

LCM(6, 463) = 2778

GCD(6, 463) = ( 6 x 463 ) / 2778

GCD(6, 463) = 2778 / 2778

GCD(6, 463) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 324, 906, 463, 726 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 324, 906, 463, 726

1. What is the GCD of 324, 906, 463, 726?

GCD of 324, 906, 463, 726 is 1


2. Where do I get the detailed procedure to find GCD of 324, 906, 463, 726?

You can find a detailed procedure to find GCD of 324, 906, 463, 726 on our page.


3. How to find GCD of 324, 906, 463, 726 on a calculator?

You can find the GCD of 324, 906, 463, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.