GCD of 999, 865, 54, 152 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 999, 865, 54, 152 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 865, 54, 152 is 1

GCD(999, 865, 54, 152) = 1

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

GCD of

GCD of numbers 999, 865, 54, 152 is 1

GCD(999, 865, 54, 152) = 1

GCD of 999,865,54,152 Calculator

GCDof 999,865,54,152 is 1

Given Input numbers are 999, 865, 54, 152

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 999, 865, 54, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 865, 54, 152 is 1.

Therefore, GCD of numbers 999, 865, 54, 152 is 1

Finding GCD of 999, 865, 54, 152 using Prime Factorization

Given Input Data is 999, 865, 54, 152

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 865 is 5 x 173

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 152 is 2 x 2 x 2 x 19

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

Finding GCD of 999, 865, 54, 152 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(999, 865) = 864135

GCD(999, 865) = ( 999 x 865 ) / 864135

GCD(999, 865) = 864135 / 864135

GCD(999, 865) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 999, 865, 54, 152 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 865, 54, 152

1. What is the GCD of 999, 865, 54, 152?

GCD of 999, 865, 54, 152 is 1


2. Where do I get the detailed procedure to find GCD of 999, 865, 54, 152?

You can find a detailed procedure to find GCD of 999, 865, 54, 152 on our page.


3. How to find GCD of 999, 865, 54, 152 on a calculator?

You can find the GCD of 999, 865, 54, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.