GCD of 315, 215, 920, 863 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, 215, 920, 863 i.e. 1 largest integer that divides all the numbers equally.

GCD of 315, 215, 920, 863 is 1

GCD(315, 215, 920, 863) = 1

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

GCD of

GCD of numbers 315, 215, 920, 863 is 1

GCD(315, 215, 920, 863) = 1

GCD of 315,215,920,863 Calculator

GCDof 315,215,920,863 is 1

Given Input numbers are 315, 215, 920, 863

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 315, 215, 920, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 215, 920, 863 is 1.

Therefore, GCD of numbers 315, 215, 920, 863 is 1

Finding GCD of 315, 215, 920, 863 using Prime Factorization

Given Input Data is 315, 215, 920, 863

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 215 is 5 x 43

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 863 is 863

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

Finding GCD of 315, 215, 920, 863 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, 215) = 13545

GCD(315, 215) = ( 315 x 215 ) / 13545

GCD(315, 215) = 67725 / 13545

GCD(315, 215) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 920

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

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

GCD(5, 920) = 4600 / 920

GCD(5, 920) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 863

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

LCM(5, 863) = 4315

GCD(5, 863) = ( 5 x 863 ) / 4315

GCD(5, 863) = 4315 / 4315

GCD(5, 863) = 1

GCD of 315, 215, 920, 863 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 315, 215, 920, 863

1. What is the GCD of 315, 215, 920, 863?

GCD of 315, 215, 920, 863 is 1


2. Where do I get the detailed procedure to find GCD of 315, 215, 920, 863?

You can find a detailed procedure to find GCD of 315, 215, 920, 863 on our page.


3. How to find GCD of 315, 215, 920, 863 on a calculator?

You can find the GCD of 315, 215, 920, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.