GCD of 12, 709, 255, 803 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 12, 709, 255, 803 i.e. 1 largest integer that divides all the numbers equally.

GCD of 12, 709, 255, 803 is 1

GCD(12, 709, 255, 803) = 1

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

GCD of

GCD of numbers 12, 709, 255, 803 is 1

GCD(12, 709, 255, 803) = 1

GCD of 12,709,255,803 Calculator

GCDof 12,709,255,803 is 1

Given Input numbers are 12, 709, 255, 803

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 12, 709, 255, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 709, 255, 803 is 1.

Therefore, GCD of numbers 12, 709, 255, 803 is 1

Finding GCD of 12, 709, 255, 803 using Prime Factorization

Given Input Data is 12, 709, 255, 803

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 709 is 709

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 803 is 11 x 73

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

Finding GCD of 12, 709, 255, 803 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(12, 709) = 8508

GCD(12, 709) = ( 12 x 709 ) / 8508

GCD(12, 709) = 8508 / 8508

GCD(12, 709) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 12, 709, 255, 803 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 12, 709, 255, 803

1. What is the GCD of 12, 709, 255, 803?

GCD of 12, 709, 255, 803 is 1


2. Where do I get the detailed procedure to find GCD of 12, 709, 255, 803?

You can find a detailed procedure to find GCD of 12, 709, 255, 803 on our page.


3. How to find GCD of 12, 709, 255, 803 on a calculator?

You can find the GCD of 12, 709, 255, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.