GCD of 625, 576, 996 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 625, 576, 996 i.e. 1 largest integer that divides all the numbers equally.

GCD of 625, 576, 996 is 1

GCD(625, 576, 996) = 1

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

GCD of

GCD of numbers 625, 576, 996 is 1

GCD(625, 576, 996) = 1

GCD of 625,576,996 Calculator

GCDof 625,576,996 is 1

Given Input numbers are 625, 576, 996

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 625, 576, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 576, 996 is 1.

Therefore, GCD of numbers 625, 576, 996 is 1

Finding GCD of 625, 576, 996 using Prime Factorization

Given Input Data is 625, 576, 996

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

Finding GCD of 625, 576, 996 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(625, 576) = 360000

GCD(625, 576) = ( 625 x 576 ) / 360000

GCD(625, 576) = 360000 / 360000

GCD(625, 576) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 625, 576, 996 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 625, 576, 996

1. What is the GCD of 625, 576, 996?

GCD of 625, 576, 996 is 1


2. Where do I get the detailed procedure to find GCD of 625, 576, 996?

You can find a detailed procedure to find GCD of 625, 576, 996 on our page.


3. How to find GCD of 625, 576, 996 on a calculator?

You can find the GCD of 625, 576, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.