GCD of 648, 596, 835, 272 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 648, 596, 835, 272 i.e. 1 largest integer that divides all the numbers equally.

GCD of 648, 596, 835, 272 is 1

GCD(648, 596, 835, 272) = 1

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

GCD of

GCD of numbers 648, 596, 835, 272 is 1

GCD(648, 596, 835, 272) = 1

GCD of 648,596,835,272 Calculator

GCDof 648,596,835,272 is 1

Given Input numbers are 648, 596, 835, 272

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

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 648, 596, 835, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 596, 835, 272 is 1.

Therefore, GCD of numbers 648, 596, 835, 272 is 1

Finding GCD of 648, 596, 835, 272 using Prime Factorization

Given Input Data is 648, 596, 835, 272

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

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 835 is 5 x 167

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

Finding GCD of 648, 596, 835, 272 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(648, 596) = 96552

GCD(648, 596) = ( 648 x 596 ) / 96552

GCD(648, 596) = 386208 / 96552

GCD(648, 596) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 835

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

LCM(4, 835) = 3340

GCD(4, 835) = ( 4 x 835 ) / 3340

GCD(4, 835) = 3340 / 3340

GCD(4, 835) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 648, 596, 835, 272 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 648, 596, 835, 272

1. What is the GCD of 648, 596, 835, 272?

GCD of 648, 596, 835, 272 is 1


2. Where do I get the detailed procedure to find GCD of 648, 596, 835, 272?

You can find a detailed procedure to find GCD of 648, 596, 835, 272 on our page.


3. How to find GCD of 648, 596, 835, 272 on a calculator?

You can find the GCD of 648, 596, 835, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.