GCD of 814, 703, 369 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 814, 703, 369 i.e. 1 largest integer that divides all the numbers equally.

GCD of 814, 703, 369 is 1

GCD(814, 703, 369) = 1

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

GCD of

GCD of numbers 814, 703, 369 is 1

GCD(814, 703, 369) = 1

GCD of 814,703,369 Calculator

GCDof 814,703,369 is 1

Given Input numbers are 814, 703, 369

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 814, 703, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 703, 369 is 1.

Therefore, GCD of numbers 814, 703, 369 is 1

Finding GCD of 814, 703, 369 using Prime Factorization

Given Input Data is 814, 703, 369

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 703 is 19 x 37

Prime Factorization of 369 is 3 x 3 x 41

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

Finding GCD of 814, 703, 369 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(814, 703) = 15466

GCD(814, 703) = ( 814 x 703 ) / 15466

GCD(814, 703) = 572242 / 15466

GCD(814, 703) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 369

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

LCM(37, 369) = 13653

GCD(37, 369) = ( 37 x 369 ) / 13653

GCD(37, 369) = 13653 / 13653

GCD(37, 369) = 1

GCD of 814, 703, 369 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 814, 703, 369

1. What is the GCD of 814, 703, 369?

GCD of 814, 703, 369 is 1

2. Where do I get the detailed procedure to find GCD of 814, 703, 369?

You can find a detailed procedure to find GCD of 814, 703, 369 on our page.

3. How to find GCD of 814, 703, 369 on a calculator?

You can find the GCD of 814, 703, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.