GCD of 708, 424, 301 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 708, 424, 301 i.e. 1 largest integer that divides all the numbers equally.

GCD of 708, 424, 301 is 1

GCD(708, 424, 301) = 1

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

GCD of

GCD of numbers 708, 424, 301 is 1

GCD(708, 424, 301) = 1

GCD of 708,424,301 Calculator

GCDof 708,424,301 is 1

Given Input numbers are 708, 424, 301

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 708, 424, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 424, 301 is 1.

Therefore, GCD of numbers 708, 424, 301 is 1

Finding GCD of 708, 424, 301 using Prime Factorization

Given Input Data is 708, 424, 301

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 301 is 7 x 43

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

Finding GCD of 708, 424, 301 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(708, 424) = 75048

GCD(708, 424) = ( 708 x 424 ) / 75048

GCD(708, 424) = 300192 / 75048

GCD(708, 424) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 301

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

LCM(4, 301) = 1204

GCD(4, 301) = ( 4 x 301 ) / 1204

GCD(4, 301) = 1204 / 1204

GCD(4, 301) = 1

GCD of 708, 424, 301 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 708, 424, 301

1. What is the GCD of 708, 424, 301?

GCD of 708, 424, 301 is 1


2. Where do I get the detailed procedure to find GCD of 708, 424, 301?

You can find a detailed procedure to find GCD of 708, 424, 301 on our page.


3. How to find GCD of 708, 424, 301 on a calculator?

You can find the GCD of 708, 424, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.