GCD of 753, 687, 135, 563 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 753, 687, 135, 563 i.e. 1 largest integer that divides all the numbers equally.

GCD of 753, 687, 135, 563 is 1

GCD(753, 687, 135, 563) = 1

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

GCD of

GCD of numbers 753, 687, 135, 563 is 1

GCD(753, 687, 135, 563) = 1

GCD of 753,687,135,563 Calculator

GCDof 753,687,135,563 is 1

Given Input numbers are 753, 687, 135, 563

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 753, 687, 135, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 687, 135, 563 is 1.

Therefore, GCD of numbers 753, 687, 135, 563 is 1

Finding GCD of 753, 687, 135, 563 using Prime Factorization

Given Input Data is 753, 687, 135, 563

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 687 is 3 x 229

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 563 is 563

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

Finding GCD of 753, 687, 135, 563 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(753, 687) = 172437

GCD(753, 687) = ( 753 x 687 ) / 172437

GCD(753, 687) = 517311 / 172437

GCD(753, 687) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 135

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

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

GCD(3, 135) = 405 / 135

GCD(3, 135) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

GCD of 753, 687, 135, 563 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 753, 687, 135, 563

1. What is the GCD of 753, 687, 135, 563?

GCD of 753, 687, 135, 563 is 1


2. Where do I get the detailed procedure to find GCD of 753, 687, 135, 563?

You can find a detailed procedure to find GCD of 753, 687, 135, 563 on our page.


3. How to find GCD of 753, 687, 135, 563 on a calculator?

You can find the GCD of 753, 687, 135, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.