GCD of 387, 564, 219, 335 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 387, 564, 219, 335 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 564, 219, 335 is 1

GCD(387, 564, 219, 335) = 1

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

GCD of

GCD of numbers 387, 564, 219, 335 is 1

GCD(387, 564, 219, 335) = 1

GCD of 387,564,219,335 Calculator

GCDof 387,564,219,335 is 1

Given Input numbers are 387, 564, 219, 335

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 387, 564, 219, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 564, 219, 335 is 1.

Therefore, GCD of numbers 387, 564, 219, 335 is 1

Finding GCD of 387, 564, 219, 335 using Prime Factorization

Given Input Data is 387, 564, 219, 335

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 219 is 3 x 73

Prime Factorization of 335 is 5 x 67

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

Finding GCD of 387, 564, 219, 335 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(387, 564) = 72756

GCD(387, 564) = ( 387 x 564 ) / 72756

GCD(387, 564) = 218268 / 72756

GCD(387, 564) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 219

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

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

GCD(3, 219) = 657 / 219

GCD(3, 219) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 335

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

LCM(3, 335) = 1005

GCD(3, 335) = ( 3 x 335 ) / 1005

GCD(3, 335) = 1005 / 1005

GCD(3, 335) = 1

GCD of 387, 564, 219, 335 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 564, 219, 335

1. What is the GCD of 387, 564, 219, 335?

GCD of 387, 564, 219, 335 is 1


2. Where do I get the detailed procedure to find GCD of 387, 564, 219, 335?

You can find a detailed procedure to find GCD of 387, 564, 219, 335 on our page.


3. How to find GCD of 387, 564, 219, 335 on a calculator?

You can find the GCD of 387, 564, 219, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.