GCD of 488, 141, 30, 396 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 488, 141, 30, 396 i.e. 1 largest integer that divides all the numbers equally.

GCD of 488, 141, 30, 396 is 1

GCD(488, 141, 30, 396) = 1

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

GCD of

GCD of numbers 488, 141, 30, 396 is 1

GCD(488, 141, 30, 396) = 1

GCD of 488,141,30,396 Calculator

GCDof 488,141,30,396 is 1

Given Input numbers are 488, 141, 30, 396

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 488, 141, 30, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 141, 30, 396 is 1.

Therefore, GCD of numbers 488, 141, 30, 396 is 1

Finding GCD of 488, 141, 30, 396 using Prime Factorization

Given Input Data is 488, 141, 30, 396

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 141 is 3 x 47

Prime Factorization of 30 is 2 x 3 x 5

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

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

Finding GCD of 488, 141, 30, 396 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(488, 141) = 68808

GCD(488, 141) = ( 488 x 141 ) / 68808

GCD(488, 141) = 68808 / 68808

GCD(488, 141) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 488, 141, 30, 396 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 488, 141, 30, 396

1. What is the GCD of 488, 141, 30, 396?

GCD of 488, 141, 30, 396 is 1


2. Where do I get the detailed procedure to find GCD of 488, 141, 30, 396?

You can find a detailed procedure to find GCD of 488, 141, 30, 396 on our page.


3. How to find GCD of 488, 141, 30, 396 on a calculator?

You can find the GCD of 488, 141, 30, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.