GCD of 852, 888, 133, 317 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 852, 888, 133, 317 i.e. 1 largest integer that divides all the numbers equally.

GCD of 852, 888, 133, 317 is 1

GCD(852, 888, 133, 317) = 1

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

GCD of

GCD of numbers 852, 888, 133, 317 is 1

GCD(852, 888, 133, 317) = 1

GCD of 852,888,133,317 Calculator

GCDof 852,888,133,317 is 1

Given Input numbers are 852, 888, 133, 317

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 852, 888, 133, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 888, 133, 317 is 1.

Therefore, GCD of numbers 852, 888, 133, 317 is 1

Finding GCD of 852, 888, 133, 317 using Prime Factorization

Given Input Data is 852, 888, 133, 317

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 133 is 7 x 19

Prime Factorization of 317 is 317

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

Finding GCD of 852, 888, 133, 317 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(852, 888) = 63048

GCD(852, 888) = ( 852 x 888 ) / 63048

GCD(852, 888) = 756576 / 63048

GCD(852, 888) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 133

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

LCM(12, 133) = 1596

GCD(12, 133) = ( 12 x 133 ) / 1596

GCD(12, 133) = 1596 / 1596

GCD(12, 133) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 852, 888, 133, 317 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 852, 888, 133, 317

1. What is the GCD of 852, 888, 133, 317?

GCD of 852, 888, 133, 317 is 1


2. Where do I get the detailed procedure to find GCD of 852, 888, 133, 317?

You can find a detailed procedure to find GCD of 852, 888, 133, 317 on our page.


3. How to find GCD of 852, 888, 133, 317 on a calculator?

You can find the GCD of 852, 888, 133, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.