GCD of 405, 648, 352, 963 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 405, 648, 352, 963 i.e. 1 largest integer that divides all the numbers equally.

GCD of 405, 648, 352, 963 is 1

GCD(405, 648, 352, 963) = 1

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

GCD of

GCD of numbers 405, 648, 352, 963 is 1

GCD(405, 648, 352, 963) = 1

GCD of 405,648,352,963 Calculator

GCDof 405,648,352,963 is 1

Given Input numbers are 405, 648, 352, 963

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 405, 648, 352, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 648, 352, 963 is 1.

Therefore, GCD of numbers 405, 648, 352, 963 is 1

Finding GCD of 405, 648, 352, 963 using Prime Factorization

Given Input Data is 405, 648, 352, 963

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 963 is 3 x 3 x 107

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

Finding GCD of 405, 648, 352, 963 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(405, 648) = 3240

GCD(405, 648) = ( 405 x 648 ) / 3240

GCD(405, 648) = 262440 / 3240

GCD(405, 648) = 81


Step2:

Here we consider the GCD from the above i.e. 81 as first number and the next as 352

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

LCM(81, 352) = 28512

GCD(81, 352) = ( 81 x 352 ) / 28512

GCD(81, 352) = 28512 / 28512

GCD(81, 352) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 405, 648, 352, 963 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 405, 648, 352, 963

1. What is the GCD of 405, 648, 352, 963?

GCD of 405, 648, 352, 963 is 1


2. Where do I get the detailed procedure to find GCD of 405, 648, 352, 963?

You can find a detailed procedure to find GCD of 405, 648, 352, 963 on our page.


3. How to find GCD of 405, 648, 352, 963 on a calculator?

You can find the GCD of 405, 648, 352, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.