GCD of 688, 165, 468, 538 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 688, 165, 468, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 688, 165, 468, 538 is 1

GCD(688, 165, 468, 538) = 1

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

GCD of

GCD of numbers 688, 165, 468, 538 is 1

GCD(688, 165, 468, 538) = 1

GCD of 688,165,468,538 Calculator

GCDof 688,165,468,538 is 1

Given Input numbers are 688, 165, 468, 538

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 688, 165, 468, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 165, 468, 538 is 1.

Therefore, GCD of numbers 688, 165, 468, 538 is 1

Finding GCD of 688, 165, 468, 538 using Prime Factorization

Given Input Data is 688, 165, 468, 538

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 538 is 2 x 269

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

Finding GCD of 688, 165, 468, 538 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(688, 165) = 113520

GCD(688, 165) = ( 688 x 165 ) / 113520

GCD(688, 165) = 113520 / 113520

GCD(688, 165) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 688, 165, 468, 538 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 688, 165, 468, 538

1. What is the GCD of 688, 165, 468, 538?

GCD of 688, 165, 468, 538 is 1


2. Where do I get the detailed procedure to find GCD of 688, 165, 468, 538?

You can find a detailed procedure to find GCD of 688, 165, 468, 538 on our page.


3. How to find GCD of 688, 165, 468, 538 on a calculator?

You can find the GCD of 688, 165, 468, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.