GCD of 472, 396, 40, 753 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 472, 396, 40, 753 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 396, 40, 753 is 1

GCD(472, 396, 40, 753) = 1

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

GCD of

GCD of numbers 472, 396, 40, 753 is 1

GCD(472, 396, 40, 753) = 1

GCD of 472,396,40,753 Calculator

GCDof 472,396,40,753 is 1

Given Input numbers are 472, 396, 40, 753

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 472, 396, 40, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 396, 40, 753 is 1.

Therefore, GCD of numbers 472, 396, 40, 753 is 1

Finding GCD of 472, 396, 40, 753 using Prime Factorization

Given Input Data is 472, 396, 40, 753

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 753 is 3 x 251

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

Finding GCD of 472, 396, 40, 753 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(472, 396) = 46728

GCD(472, 396) = ( 472 x 396 ) / 46728

GCD(472, 396) = 186912 / 46728

GCD(472, 396) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 753

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

LCM(4, 753) = 3012

GCD(4, 753) = ( 4 x 753 ) / 3012

GCD(4, 753) = 3012 / 3012

GCD(4, 753) = 1

GCD of 472, 396, 40, 753 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 396, 40, 753

1. What is the GCD of 472, 396, 40, 753?

GCD of 472, 396, 40, 753 is 1


2. Where do I get the detailed procedure to find GCD of 472, 396, 40, 753?

You can find a detailed procedure to find GCD of 472, 396, 40, 753 on our page.


3. How to find GCD of 472, 396, 40, 753 on a calculator?

You can find the GCD of 472, 396, 40, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.