GCD of 856, 744, 41, 264 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, 41, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 856, 744, 41, 264 is 1

GCD(856, 744, 41, 264) = 1

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

GCD of

GCD of numbers 856, 744, 41, 264 is 1

GCD(856, 744, 41, 264) = 1

GCD of 856,744,41,264 Calculator

GCDof 856,744,41,264 is 1

Given Input numbers are 856, 744, 41, 264

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 856, 744, 41, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 744, 41, 264 is 1.

Therefore, GCD of numbers 856, 744, 41, 264 is 1

Finding GCD of 856, 744, 41, 264 using Prime Factorization

Given Input Data is 856, 744, 41, 264

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 41 is 41

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Finding GCD of 856, 744, 41, 264 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 41

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

LCM(8, 41) = 328

GCD(8, 41) = ( 8 x 41 ) / 328

GCD(8, 41) = 328 / 328

GCD(8, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 856, 744, 41, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 856, 744, 41, 264

1. What is the GCD of 856, 744, 41, 264?

GCD of 856, 744, 41, 264 is 1


2. Where do I get the detailed procedure to find GCD of 856, 744, 41, 264?

You can find a detailed procedure to find GCD of 856, 744, 41, 264 on our page.


3. How to find GCD of 856, 744, 41, 264 on a calculator?

You can find the GCD of 856, 744, 41, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.