GCD of 369, 387, 304 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 369, 387, 304 i.e. 1 largest integer that divides all the numbers equally.

GCD of 369, 387, 304 is 1

GCD(369, 387, 304) = 1

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

GCD of

GCD of numbers 369, 387, 304 is 1

GCD(369, 387, 304) = 1

GCD of 369,387,304 Calculator

GCDof 369,387,304 is 1

Given Input numbers are 369, 387, 304

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 369, 387, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 387, 304 is 1.

Therefore, GCD of numbers 369, 387, 304 is 1

Finding GCD of 369, 387, 304 using Prime Factorization

Given Input Data is 369, 387, 304

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Finding GCD of 369, 387, 304 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(369, 387) = 15867

GCD(369, 387) = ( 369 x 387 ) / 15867

GCD(369, 387) = 142803 / 15867

GCD(369, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 304

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

LCM(9, 304) = 2736

GCD(9, 304) = ( 9 x 304 ) / 2736

GCD(9, 304) = 2736 / 2736

GCD(9, 304) = 1

GCD of 369, 387, 304 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 369, 387, 304

1. What is the GCD of 369, 387, 304?

GCD of 369, 387, 304 is 1

2. Where do I get the detailed procedure to find GCD of 369, 387, 304?

You can find a detailed procedure to find GCD of 369, 387, 304 on our page.

3. How to find GCD of 369, 387, 304 on a calculator?

You can find the GCD of 369, 387, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.