GCD of 313, 867, 548 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 313, 867, 548 i.e. 1 largest integer that divides all the numbers equally.

GCD of 313, 867, 548 is 1

GCD(313, 867, 548) = 1

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

GCD of

GCD of numbers 313, 867, 548 is 1

GCD(313, 867, 548) = 1

GCD of 313,867,548 Calculator

GCDof 313,867,548 is 1

Given Input numbers are 313, 867, 548

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

Divisors of 313

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

1, 313

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 313, 867, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 867, 548 is 1.

Therefore, GCD of numbers 313, 867, 548 is 1

Finding GCD of 313, 867, 548 using Prime Factorization

Given Input Data is 313, 867, 548

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

Prime Factorization of 313 is 313

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 548 is 2 x 2 x 137

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

Finding GCD of 313, 867, 548 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(313, 867) = 271371

GCD(313, 867) = ( 313 x 867 ) / 271371

GCD(313, 867) = 271371 / 271371

GCD(313, 867) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 313, 867, 548 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 313, 867, 548

1. What is the GCD of 313, 867, 548?

GCD of 313, 867, 548 is 1


2. Where do I get the detailed procedure to find GCD of 313, 867, 548?

You can find a detailed procedure to find GCD of 313, 867, 548 on our page.


3. How to find GCD of 313, 867, 548 on a calculator?

You can find the GCD of 313, 867, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.