GCD of 349, 798, 51, 731 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 349, 798, 51, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 349, 798, 51, 731 is 1

GCD(349, 798, 51, 731) = 1

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

GCD of

GCD of numbers 349, 798, 51, 731 is 1

GCD(349, 798, 51, 731) = 1

GCD of 349,798,51,731 Calculator

GCDof 349,798,51,731 is 1

Given Input numbers are 349, 798, 51, 731

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 349, 798, 51, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 798, 51, 731 is 1.

Therefore, GCD of numbers 349, 798, 51, 731 is 1

Finding GCD of 349, 798, 51, 731 using Prime Factorization

Given Input Data is 349, 798, 51, 731

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

Prime Factorization of 349 is 349

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 731 is 17 x 43

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

Finding GCD of 349, 798, 51, 731 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(349, 798) = 278502

GCD(349, 798) = ( 349 x 798 ) / 278502

GCD(349, 798) = 278502 / 278502

GCD(349, 798) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 349, 798, 51, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 349, 798, 51, 731

1. What is the GCD of 349, 798, 51, 731?

GCD of 349, 798, 51, 731 is 1


2. Where do I get the detailed procedure to find GCD of 349, 798, 51, 731?

You can find a detailed procedure to find GCD of 349, 798, 51, 731 on our page.


3. How to find GCD of 349, 798, 51, 731 on a calculator?

You can find the GCD of 349, 798, 51, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.