GCD of 871, 472, 34, 491 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, 472, 34, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 472, 34, 491 is 1

GCD(871, 472, 34, 491) = 1

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

GCD of

GCD of numbers 871, 472, 34, 491 is 1

GCD(871, 472, 34, 491) = 1

GCD of 871,472,34,491 Calculator

GCDof 871,472,34,491 is 1

Given Input numbers are 871, 472, 34, 491

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 871, 472, 34, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 472, 34, 491 is 1.

Therefore, GCD of numbers 871, 472, 34, 491 is 1

Finding GCD of 871, 472, 34, 491 using Prime Factorization

Given Input Data is 871, 472, 34, 491

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 34 is 2 x 17

Prime Factorization of 491 is 491

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

Finding GCD of 871, 472, 34, 491 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, 472) = 411112

GCD(871, 472) = ( 871 x 472 ) / 411112

GCD(871, 472) = 411112 / 411112

GCD(871, 472) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 871, 472, 34, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 871, 472, 34, 491

1. What is the GCD of 871, 472, 34, 491?

GCD of 871, 472, 34, 491 is 1


2. Where do I get the detailed procedure to find GCD of 871, 472, 34, 491?

You can find a detailed procedure to find GCD of 871, 472, 34, 491 on our page.


3. How to find GCD of 871, 472, 34, 491 on a calculator?

You can find the GCD of 871, 472, 34, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.