GCD of 385, 396, 516, 556 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 385, 396, 516, 556 i.e. 1 largest integer that divides all the numbers equally.

GCD of 385, 396, 516, 556 is 1

GCD(385, 396, 516, 556) = 1

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

GCD of

GCD of numbers 385, 396, 516, 556 is 1

GCD(385, 396, 516, 556) = 1

GCD of 385,396,516,556 Calculator

GCDof 385,396,516,556 is 1

Given Input numbers are 385, 396, 516, 556

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 385, 396, 516, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 396, 516, 556 is 1.

Therefore, GCD of numbers 385, 396, 516, 556 is 1

Finding GCD of 385, 396, 516, 556 using Prime Factorization

Given Input Data is 385, 396, 516, 556

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

Prime Factorization of 385 is 5 x 7 x 11

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 556 is 2 x 2 x 139

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

Finding GCD of 385, 396, 516, 556 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(385, 396) = 13860

GCD(385, 396) = ( 385 x 396 ) / 13860

GCD(385, 396) = 152460 / 13860

GCD(385, 396) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 516

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

LCM(11, 516) = 5676

GCD(11, 516) = ( 11 x 516 ) / 5676

GCD(11, 516) = 5676 / 5676

GCD(11, 516) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 385, 396, 516, 556 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 385, 396, 516, 556

1. What is the GCD of 385, 396, 516, 556?

GCD of 385, 396, 516, 556 is 1


2. Where do I get the detailed procedure to find GCD of 385, 396, 516, 556?

You can find a detailed procedure to find GCD of 385, 396, 516, 556 on our page.


3. How to find GCD of 385, 396, 516, 556 on a calculator?

You can find the GCD of 385, 396, 516, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.