GCD of 387, 362, 369, 614 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, 362, 369, 614 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 362, 369, 614 is 1

GCD(387, 362, 369, 614) = 1

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

GCD of

GCD of numbers 387, 362, 369, 614 is 1

GCD(387, 362, 369, 614) = 1

GCD of 387,362,369,614 Calculator

GCDof 387,362,369,614 is 1

Given Input numbers are 387, 362, 369, 614

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 387, 362, 369, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 362, 369, 614 is 1.

Therefore, GCD of numbers 387, 362, 369, 614 is 1

Finding GCD of 387, 362, 369, 614 using Prime Factorization

Given Input Data is 387, 362, 369, 614

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 362 is 2 x 181

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 614 is 2 x 307

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

Finding GCD of 387, 362, 369, 614 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, 362) = 140094

GCD(387, 362) = ( 387 x 362 ) / 140094

GCD(387, 362) = 140094 / 140094

GCD(387, 362) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 387, 362, 369, 614 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 362, 369, 614

1. What is the GCD of 387, 362, 369, 614?

GCD of 387, 362, 369, 614 is 1


2. Where do I get the detailed procedure to find GCD of 387, 362, 369, 614?

You can find a detailed procedure to find GCD of 387, 362, 369, 614 on our page.


3. How to find GCD of 387, 362, 369, 614 on a calculator?

You can find the GCD of 387, 362, 369, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.