GCD of 796, 540, 25, 496 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 796, 540, 25, 496 i.e. 1 largest integer that divides all the numbers equally.

GCD of 796, 540, 25, 496 is 1

GCD(796, 540, 25, 496) = 1

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

GCD of

GCD of numbers 796, 540, 25, 496 is 1

GCD(796, 540, 25, 496) = 1

GCD of 796,540,25,496 Calculator

GCDof 796,540,25,496 is 1

Given Input numbers are 796, 540, 25, 496

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 796, 540, 25, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 540, 25, 496 is 1.

Therefore, GCD of numbers 796, 540, 25, 496 is 1

Finding GCD of 796, 540, 25, 496 using Prime Factorization

Given Input Data is 796, 540, 25, 496

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 25 is 5 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

Finding GCD of 796, 540, 25, 496 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(796, 540) = 107460

GCD(796, 540) = ( 796 x 540 ) / 107460

GCD(796, 540) = 429840 / 107460

GCD(796, 540) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 25

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

LCM(4, 25) = 100

GCD(4, 25) = ( 4 x 25 ) / 100

GCD(4, 25) = 100 / 100

GCD(4, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 796, 540, 25, 496 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 796, 540, 25, 496

1. What is the GCD of 796, 540, 25, 496?

GCD of 796, 540, 25, 496 is 1


2. Where do I get the detailed procedure to find GCD of 796, 540, 25, 496?

You can find a detailed procedure to find GCD of 796, 540, 25, 496 on our page.


3. How to find GCD of 796, 540, 25, 496 on a calculator?

You can find the GCD of 796, 540, 25, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.