GCD of 732, 306, 495 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 732, 306, 495 i.e. 3 largest integer that divides all the numbers equally.

GCD of 732, 306, 495 is 3

GCD(732, 306, 495) = 3

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

GCD of

GCD of numbers 732, 306, 495 is 3

GCD(732, 306, 495) = 3

GCD of 732,306,495 Calculator

GCDof 732,306,495 is 3

Given Input numbers are 732, 306, 495

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 732, 306, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 306, 495 is 3.

Therefore, GCD of numbers 732, 306, 495 is 3

Finding GCD of 732, 306, 495 using Prime Factorization

Given Input Data is 732, 306, 495

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 495 is 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 732, 306, 495 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(732, 306) = 37332

GCD(732, 306) = ( 732 x 306 ) / 37332

GCD(732, 306) = 223992 / 37332

GCD(732, 306) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 495

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

LCM(6, 495) = 990

GCD(6, 495) = ( 6 x 495 ) / 990

GCD(6, 495) = 2970 / 990

GCD(6, 495) = 3

GCD of 732, 306, 495 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 732, 306, 495

1. What is the GCD of 732, 306, 495?

GCD of 732, 306, 495 is 3


2. Where do I get the detailed procedure to find GCD of 732, 306, 495?

You can find a detailed procedure to find GCD of 732, 306, 495 on our page.


3. How to find GCD of 732, 306, 495 on a calculator?

You can find the GCD of 732, 306, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.