GCD of 865, 997, 143, 312 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 865, 997, 143, 312 i.e. 1 largest integer that divides all the numbers equally.

GCD of 865, 997, 143, 312 is 1

GCD(865, 997, 143, 312) = 1

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

GCD of

GCD of numbers 865, 997, 143, 312 is 1

GCD(865, 997, 143, 312) = 1

GCD of 865,997,143,312 Calculator

GCDof 865,997,143,312 is 1

Given Input numbers are 865, 997, 143, 312

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 865, 997, 143, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 997, 143, 312 is 1.

Therefore, GCD of numbers 865, 997, 143, 312 is 1

Finding GCD of 865, 997, 143, 312 using Prime Factorization

Given Input Data is 865, 997, 143, 312

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 997 is 997

Prime Factorization of 143 is 11 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

Finding GCD of 865, 997, 143, 312 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(865, 997) = 862405

GCD(865, 997) = ( 865 x 997 ) / 862405

GCD(865, 997) = 862405 / 862405

GCD(865, 997) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 865, 997, 143, 312 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 865, 997, 143, 312

1. What is the GCD of 865, 997, 143, 312?

GCD of 865, 997, 143, 312 is 1


2. Where do I get the detailed procedure to find GCD of 865, 997, 143, 312?

You can find a detailed procedure to find GCD of 865, 997, 143, 312 on our page.


3. How to find GCD of 865, 997, 143, 312 on a calculator?

You can find the GCD of 865, 997, 143, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.