GCD of 856, 744, 15, 879 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, 744, 15, 879 i.e. 1 largest integer that divides all the numbers equally.

GCD of 856, 744, 15, 879 is 1

GCD(856, 744, 15, 879) = 1

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

GCD of

GCD of numbers 856, 744, 15, 879 is 1

GCD(856, 744, 15, 879) = 1

GCD of 856,744,15,879 Calculator

GCDof 856,744,15,879 is 1

Given Input numbers are 856, 744, 15, 879

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 856, 744, 15, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 744, 15, 879 is 1.

Therefore, GCD of numbers 856, 744, 15, 879 is 1

Finding GCD of 856, 744, 15, 879 using Prime Factorization

Given Input Data is 856, 744, 15, 879

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 879 is 3 x 293

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

Finding GCD of 856, 744, 15, 879 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, 744) = 79608

GCD(856, 744) = ( 856 x 744 ) / 79608

GCD(856, 744) = 636864 / 79608

GCD(856, 744) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 15

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

LCM(8, 15) = 120

GCD(8, 15) = ( 8 x 15 ) / 120

GCD(8, 15) = 120 / 120

GCD(8, 15) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 856, 744, 15, 879 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 856, 744, 15, 879

1. What is the GCD of 856, 744, 15, 879?

GCD of 856, 744, 15, 879 is 1


2. Where do I get the detailed procedure to find GCD of 856, 744, 15, 879?

You can find a detailed procedure to find GCD of 856, 744, 15, 879 on our page.


3. How to find GCD of 856, 744, 15, 879 on a calculator?

You can find the GCD of 856, 744, 15, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.