GCD of 396, 884, 539, 958 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 396, 884, 539, 958 i.e. 1 largest integer that divides all the numbers equally.

GCD of 396, 884, 539, 958 is 1

GCD(396, 884, 539, 958) = 1

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

GCD of

GCD of numbers 396, 884, 539, 958 is 1

GCD(396, 884, 539, 958) = 1

GCD of 396,884,539,958 Calculator

GCDof 396,884,539,958 is 1

Given Input numbers are 396, 884, 539, 958

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

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 396, 884, 539, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 884, 539, 958 is 1.

Therefore, GCD of numbers 396, 884, 539, 958 is 1

Finding GCD of 396, 884, 539, 958 using Prime Factorization

Given Input Data is 396, 884, 539, 958

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

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 958 is 2 x 479

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

Finding GCD of 396, 884, 539, 958 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(396, 884) = 87516

GCD(396, 884) = ( 396 x 884 ) / 87516

GCD(396, 884) = 350064 / 87516

GCD(396, 884) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 539

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

LCM(4, 539) = 2156

GCD(4, 539) = ( 4 x 539 ) / 2156

GCD(4, 539) = 2156 / 2156

GCD(4, 539) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 396, 884, 539, 958 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 396, 884, 539, 958

1. What is the GCD of 396, 884, 539, 958?

GCD of 396, 884, 539, 958 is 1


2. Where do I get the detailed procedure to find GCD of 396, 884, 539, 958?

You can find a detailed procedure to find GCD of 396, 884, 539, 958 on our page.


3. How to find GCD of 396, 884, 539, 958 on a calculator?

You can find the GCD of 396, 884, 539, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.