GCD of 315, 159, 379, 687 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 315, 159, 379, 687 i.e. 1 largest integer that divides all the numbers equally.

GCD of 315, 159, 379, 687 is 1

GCD(315, 159, 379, 687) = 1

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

GCD of

GCD of numbers 315, 159, 379, 687 is 1

GCD(315, 159, 379, 687) = 1

GCD of 315,159,379,687 Calculator

GCDof 315,159,379,687 is 1

Given Input numbers are 315, 159, 379, 687

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 315, 159, 379, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 159, 379, 687 is 1.

Therefore, GCD of numbers 315, 159, 379, 687 is 1

Finding GCD of 315, 159, 379, 687 using Prime Factorization

Given Input Data is 315, 159, 379, 687

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 159 is 3 x 53

Prime Factorization of 379 is 379

Prime Factorization of 687 is 3 x 229

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

Finding GCD of 315, 159, 379, 687 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(315, 159) = 16695

GCD(315, 159) = ( 315 x 159 ) / 16695

GCD(315, 159) = 50085 / 16695

GCD(315, 159) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 379

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

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

GCD(3, 379) = 1137 / 1137

GCD(3, 379) = 1


Step3:

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

GCD of 315, 159, 379, 687 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 315, 159, 379, 687

1. What is the GCD of 315, 159, 379, 687?

GCD of 315, 159, 379, 687 is 1


2. Where do I get the detailed procedure to find GCD of 315, 159, 379, 687?

You can find a detailed procedure to find GCD of 315, 159, 379, 687 on our page.


3. How to find GCD of 315, 159, 379, 687 on a calculator?

You can find the GCD of 315, 159, 379, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.