GCD of 512, 165, 25, 812 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 512, 165, 25, 812 i.e. 1 largest integer that divides all the numbers equally.

GCD of 512, 165, 25, 812 is 1

GCD(512, 165, 25, 812) = 1

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

GCD of

GCD of numbers 512, 165, 25, 812 is 1

GCD(512, 165, 25, 812) = 1

GCD of 512,165,25,812 Calculator

GCDof 512,165,25,812 is 1

Given Input numbers are 512, 165, 25, 812

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 25

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

1, 5, 25

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 512, 165, 25, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 165, 25, 812 is 1.

Therefore, GCD of numbers 512, 165, 25, 812 is 1

Finding GCD of 512, 165, 25, 812 using Prime Factorization

Given Input Data is 512, 165, 25, 812

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 25 is 5 x 5

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Finding GCD of 512, 165, 25, 812 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(512, 165) = 84480

GCD(512, 165) = ( 512 x 165 ) / 84480

GCD(512, 165) = 84480 / 84480

GCD(512, 165) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 512, 165, 25, 812 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 512, 165, 25, 812

1. What is the GCD of 512, 165, 25, 812?

GCD of 512, 165, 25, 812 is 1


2. Where do I get the detailed procedure to find GCD of 512, 165, 25, 812?

You can find a detailed procedure to find GCD of 512, 165, 25, 812 on our page.


3. How to find GCD of 512, 165, 25, 812 on a calculator?

You can find the GCD of 512, 165, 25, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.