GCD of 147, 313, 687, 389 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 147, 313, 687, 389 i.e. 1 largest integer that divides all the numbers equally.

GCD of 147, 313, 687, 389 is 1

GCD(147, 313, 687, 389) = 1

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

GCD of

GCD of numbers 147, 313, 687, 389 is 1

GCD(147, 313, 687, 389) = 1

GCD of 147,313,687,389 Calculator

GCDof 147,313,687,389 is 1

Given Input numbers are 147, 313, 687, 389

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 147, 313, 687, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 313, 687, 389 is 1.

Therefore, GCD of numbers 147, 313, 687, 389 is 1

Finding GCD of 147, 313, 687, 389 using Prime Factorization

Given Input Data is 147, 313, 687, 389

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 313 is 313

Prime Factorization of 687 is 3 x 229

Prime Factorization of 389 is 389

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

Finding GCD of 147, 313, 687, 389 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(147, 313) = 46011

GCD(147, 313) = ( 147 x 313 ) / 46011

GCD(147, 313) = 46011 / 46011

GCD(147, 313) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 147, 313, 687, 389 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 147, 313, 687, 389

1. What is the GCD of 147, 313, 687, 389?

GCD of 147, 313, 687, 389 is 1


2. Where do I get the detailed procedure to find GCD of 147, 313, 687, 389?

You can find a detailed procedure to find GCD of 147, 313, 687, 389 on our page.


3. How to find GCD of 147, 313, 687, 389 on a calculator?

You can find the GCD of 147, 313, 687, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.