GCD of 813, 206, 49, 753 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 813, 206, 49, 753 i.e. 1 largest integer that divides all the numbers equally.

GCD of 813, 206, 49, 753 is 1

GCD(813, 206, 49, 753) = 1

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

GCD of

GCD of numbers 813, 206, 49, 753 is 1

GCD(813, 206, 49, 753) = 1

GCD of 813,206,49,753 Calculator

GCDof 813,206,49,753 is 1

Given Input numbers are 813, 206, 49, 753

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 753

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

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 813, 206, 49, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 206, 49, 753 is 1.

Therefore, GCD of numbers 813, 206, 49, 753 is 1

Finding GCD of 813, 206, 49, 753 using Prime Factorization

Given Input Data is 813, 206, 49, 753

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 206 is 2 x 103

Prime Factorization of 49 is 7 x 7

Prime Factorization of 753 is 3 x 251

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

Finding GCD of 813, 206, 49, 753 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(813, 206) = 167478

GCD(813, 206) = ( 813 x 206 ) / 167478

GCD(813, 206) = 167478 / 167478

GCD(813, 206) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 813, 206, 49, 753 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 813, 206, 49, 753

1. What is the GCD of 813, 206, 49, 753?

GCD of 813, 206, 49, 753 is 1


2. Where do I get the detailed procedure to find GCD of 813, 206, 49, 753?

You can find a detailed procedure to find GCD of 813, 206, 49, 753 on our page.


3. How to find GCD of 813, 206, 49, 753 on a calculator?

You can find the GCD of 813, 206, 49, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.