GCD of 831, 766, 47, 143 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 831, 766, 47, 143 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 766, 47, 143 is 1

GCD(831, 766, 47, 143) = 1

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

GCD of

GCD of numbers 831, 766, 47, 143 is 1

GCD(831, 766, 47, 143) = 1

GCD of 831,766,47,143 Calculator

GCDof 831,766,47,143 is 1

Given Input numbers are 831, 766, 47, 143

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 143

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

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 831, 766, 47, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 766, 47, 143 is 1.

Therefore, GCD of numbers 831, 766, 47, 143 is 1

Finding GCD of 831, 766, 47, 143 using Prime Factorization

Given Input Data is 831, 766, 47, 143

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 766 is 2 x 383

Prime Factorization of 47 is 47

Prime Factorization of 143 is 11 x 13

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

Finding GCD of 831, 766, 47, 143 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(831, 766) = 636546

GCD(831, 766) = ( 831 x 766 ) / 636546

GCD(831, 766) = 636546 / 636546

GCD(831, 766) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

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

GCD of 831, 766, 47, 143 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 766, 47, 143

1. What is the GCD of 831, 766, 47, 143?

GCD of 831, 766, 47, 143 is 1


2. Where do I get the detailed procedure to find GCD of 831, 766, 47, 143?

You can find a detailed procedure to find GCD of 831, 766, 47, 143 on our page.


3. How to find GCD of 831, 766, 47, 143 on a calculator?

You can find the GCD of 831, 766, 47, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.