GCD of 871, 868, 231, 213 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 871, 868, 231, 213 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 868, 231, 213 is 1

GCD(871, 868, 231, 213) = 1

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

GCD of

GCD of numbers 871, 868, 231, 213 is 1

GCD(871, 868, 231, 213) = 1

GCD of 871,868,231,213 Calculator

GCDof 871,868,231,213 is 1

Given Input numbers are 871, 868, 231, 213

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 871, 868, 231, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 868, 231, 213 is 1.

Therefore, GCD of numbers 871, 868, 231, 213 is 1

Finding GCD of 871, 868, 231, 213 using Prime Factorization

Given Input Data is 871, 868, 231, 213

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 213 is 3 x 71

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

Finding GCD of 871, 868, 231, 213 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(871, 868) = 756028

GCD(871, 868) = ( 871 x 868 ) / 756028

GCD(871, 868) = 756028 / 756028

GCD(871, 868) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 871, 868, 231, 213 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 871, 868, 231, 213

1. What is the GCD of 871, 868, 231, 213?

GCD of 871, 868, 231, 213 is 1


2. Where do I get the detailed procedure to find GCD of 871, 868, 231, 213?

You can find a detailed procedure to find GCD of 871, 868, 231, 213 on our page.


3. How to find GCD of 871, 868, 231, 213 on a calculator?

You can find the GCD of 871, 868, 231, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.