GCD of 798, 709, 32, 338 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 798, 709, 32, 338 i.e. 1 largest integer that divides all the numbers equally.

GCD of 798, 709, 32, 338 is 1

GCD(798, 709, 32, 338) = 1

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

GCD of

GCD of numbers 798, 709, 32, 338 is 1

GCD(798, 709, 32, 338) = 1

GCD of 798,709,32,338 Calculator

GCDof 798,709,32,338 is 1

Given Input numbers are 798, 709, 32, 338

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

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 709

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

1, 709

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 798, 709, 32, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 709, 32, 338 is 1.

Therefore, GCD of numbers 798, 709, 32, 338 is 1

Finding GCD of 798, 709, 32, 338 using Prime Factorization

Given Input Data is 798, 709, 32, 338

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

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

Prime Factorization of 709 is 709

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 338 is 2 x 13 x 13

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

Finding GCD of 798, 709, 32, 338 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(798, 709) = 565782

GCD(798, 709) = ( 798 x 709 ) / 565782

GCD(798, 709) = 565782 / 565782

GCD(798, 709) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 798, 709, 32, 338 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 798, 709, 32, 338

1. What is the GCD of 798, 709, 32, 338?

GCD of 798, 709, 32, 338 is 1


2. Where do I get the detailed procedure to find GCD of 798, 709, 32, 338?

You can find a detailed procedure to find GCD of 798, 709, 32, 338 on our page.


3. How to find GCD of 798, 709, 32, 338 on a calculator?

You can find the GCD of 798, 709, 32, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.