GCD of 856, 143, 31, 726 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 856, 143, 31, 726 i.e. 1 largest integer that divides all the numbers equally.

GCD of 856, 143, 31, 726 is 1

GCD(856, 143, 31, 726) = 1

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

GCD of

GCD of numbers 856, 143, 31, 726 is 1

GCD(856, 143, 31, 726) = 1

GCD of 856,143,31,726 Calculator

GCDof 856,143,31,726 is 1

Given Input numbers are 856, 143, 31, 726

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 143

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

1, 11, 13, 143

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 856, 143, 31, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 143, 31, 726 is 1.

Therefore, GCD of numbers 856, 143, 31, 726 is 1

Finding GCD of 856, 143, 31, 726 using Prime Factorization

Given Input Data is 856, 143, 31, 726

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 143 is 11 x 13

Prime Factorization of 31 is 31

Prime Factorization of 726 is 2 x 3 x 11 x 11

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

Finding GCD of 856, 143, 31, 726 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(856, 143) = 122408

GCD(856, 143) = ( 856 x 143 ) / 122408

GCD(856, 143) = 122408 / 122408

GCD(856, 143) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 856, 143, 31, 726 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 856, 143, 31, 726

1. What is the GCD of 856, 143, 31, 726?

GCD of 856, 143, 31, 726 is 1


2. Where do I get the detailed procedure to find GCD of 856, 143, 31, 726?

You can find a detailed procedure to find GCD of 856, 143, 31, 726 on our page.


3. How to find GCD of 856, 143, 31, 726 on a calculator?

You can find the GCD of 856, 143, 31, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.