GCD of 465, 330, 92, 508 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 465, 330, 92, 508 i.e. 1 largest integer that divides all the numbers equally.

GCD of 465, 330, 92, 508 is 1

GCD(465, 330, 92, 508) = 1

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

GCD of

GCD of numbers 465, 330, 92, 508 is 1

GCD(465, 330, 92, 508) = 1

GCD of 465,330,92,508 Calculator

GCDof 465,330,92,508 is 1

Given Input numbers are 465, 330, 92, 508

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 465, 330, 92, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 330, 92, 508 is 1.

Therefore, GCD of numbers 465, 330, 92, 508 is 1

Finding GCD of 465, 330, 92, 508 using Prime Factorization

Given Input Data is 465, 330, 92, 508

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 508 is 2 x 2 x 127

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

Finding GCD of 465, 330, 92, 508 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(465, 330) = 10230

GCD(465, 330) = ( 465 x 330 ) / 10230

GCD(465, 330) = 153450 / 10230

GCD(465, 330) = 15


Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 92

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

LCM(15, 92) = 1380

GCD(15, 92) = ( 15 x 92 ) / 1380

GCD(15, 92) = 1380 / 1380

GCD(15, 92) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 465, 330, 92, 508 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 465, 330, 92, 508

1. What is the GCD of 465, 330, 92, 508?

GCD of 465, 330, 92, 508 is 1


2. Where do I get the detailed procedure to find GCD of 465, 330, 92, 508?

You can find a detailed procedure to find GCD of 465, 330, 92, 508 on our page.


3. How to find GCD of 465, 330, 92, 508 on a calculator?

You can find the GCD of 465, 330, 92, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.