GCD of 495, 992, 72, 390 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 495, 992, 72, 390 i.e. 1 largest integer that divides all the numbers equally.

GCD of 495, 992, 72, 390 is 1

GCD(495, 992, 72, 390) = 1

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

GCD of

GCD of numbers 495, 992, 72, 390 is 1

GCD(495, 992, 72, 390) = 1

GCD of 495,992,72,390 Calculator

GCDof 495,992,72,390 is 1

Given Input numbers are 495, 992, 72, 390

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

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 495, 992, 72, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 992, 72, 390 is 1.

Therefore, GCD of numbers 495, 992, 72, 390 is 1

Finding GCD of 495, 992, 72, 390 using Prime Factorization

Given Input Data is 495, 992, 72, 390

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Finding GCD of 495, 992, 72, 390 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(495, 992) = 491040

GCD(495, 992) = ( 495 x 992 ) / 491040

GCD(495, 992) = 491040 / 491040

GCD(495, 992) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 495, 992, 72, 390 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 495, 992, 72, 390

1. What is the GCD of 495, 992, 72, 390?

GCD of 495, 992, 72, 390 is 1


2. Where do I get the detailed procedure to find GCD of 495, 992, 72, 390?

You can find a detailed procedure to find GCD of 495, 992, 72, 390 on our page.


3. How to find GCD of 495, 992, 72, 390 on a calculator?

You can find the GCD of 495, 992, 72, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.