GCD of 387, 279, 97, 354 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, 279, 97, 354 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 279, 97, 354 is 1

GCD(387, 279, 97, 354) = 1

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

GCD of

GCD of numbers 387, 279, 97, 354 is 1

GCD(387, 279, 97, 354) = 1

GCD of 387,279,97,354 Calculator

GCDof 387,279,97,354 is 1

Given Input numbers are 387, 279, 97, 354

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 387, 279, 97, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 279, 97, 354 is 1.

Therefore, GCD of numbers 387, 279, 97, 354 is 1

Finding GCD of 387, 279, 97, 354 using Prime Factorization

Given Input Data is 387, 279, 97, 354

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 279 is 3 x 3 x 31

Prime Factorization of 97 is 97

Prime Factorization of 354 is 2 x 3 x 59

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

Finding GCD of 387, 279, 97, 354 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, 279) = 11997

GCD(387, 279) = ( 387 x 279 ) / 11997

GCD(387, 279) = 107973 / 11997

GCD(387, 279) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 97

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

LCM(9, 97) = 873

GCD(9, 97) = ( 9 x 97 ) / 873

GCD(9, 97) = 873 / 873

GCD(9, 97) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 387, 279, 97, 354 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 279, 97, 354

1. What is the GCD of 387, 279, 97, 354?

GCD of 387, 279, 97, 354 is 1


2. Where do I get the detailed procedure to find GCD of 387, 279, 97, 354?

You can find a detailed procedure to find GCD of 387, 279, 97, 354 on our page.


3. How to find GCD of 387, 279, 97, 354 on a calculator?

You can find the GCD of 387, 279, 97, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.