GCD of 871, 561, 42, 131 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, 561, 42, 131 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 561, 42, 131 is 1

GCD(871, 561, 42, 131) = 1

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

GCD of

GCD of numbers 871, 561, 42, 131 is 1

GCD(871, 561, 42, 131) = 1

GCD of 871,561,42,131 Calculator

GCDof 871,561,42,131 is 1

Given Input numbers are 871, 561, 42, 131

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 871, 561, 42, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 561, 42, 131 is 1.

Therefore, GCD of numbers 871, 561, 42, 131 is 1

Finding GCD of 871, 561, 42, 131 using Prime Factorization

Given Input Data is 871, 561, 42, 131

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 131 is 131

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

Finding GCD of 871, 561, 42, 131 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, 561) = 488631

GCD(871, 561) = ( 871 x 561 ) / 488631

GCD(871, 561) = 488631 / 488631

GCD(871, 561) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 871, 561, 42, 131 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 871, 561, 42, 131

1. What is the GCD of 871, 561, 42, 131?

GCD of 871, 561, 42, 131 is 1


2. Where do I get the detailed procedure to find GCD of 871, 561, 42, 131?

You can find a detailed procedure to find GCD of 871, 561, 42, 131 on our page.


3. How to find GCD of 871, 561, 42, 131 on a calculator?

You can find the GCD of 871, 561, 42, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.