GCD of 915, 618, 996 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 915, 618, 996 i.e. 3 largest integer that divides all the numbers equally.

GCD of 915, 618, 996 is 3

GCD(915, 618, 996) = 3

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

GCD of

GCD of numbers 915, 618, 996 is 3

GCD(915, 618, 996) = 3

GCD of 915,618,996 Calculator

GCDof 915,618,996 is 3

Given Input numbers are 915, 618, 996

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 915, 618, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 618, 996 is 3.

Therefore, GCD of numbers 915, 618, 996 is 3

Finding GCD of 915, 618, 996 using Prime Factorization

Given Input Data is 915, 618, 996

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 915, 618, 996 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(915, 618) = 188490

GCD(915, 618) = ( 915 x 618 ) / 188490

GCD(915, 618) = 565470 / 188490

GCD(915, 618) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

GCD of 915, 618, 996 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 915, 618, 996

1. What is the GCD of 915, 618, 996?

GCD of 915, 618, 996 is 3


2. Where do I get the detailed procedure to find GCD of 915, 618, 996?

You can find a detailed procedure to find GCD of 915, 618, 996 on our page.


3. How to find GCD of 915, 618, 996 on a calculator?

You can find the GCD of 915, 618, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.