GCD of 103, 676, 864, 351 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 103, 676, 864, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 103, 676, 864, 351 is 1

GCD(103, 676, 864, 351) = 1

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

GCD of

GCD of numbers 103, 676, 864, 351 is 1

GCD(103, 676, 864, 351) = 1

GCD of 103,676,864,351 Calculator

GCDof 103,676,864,351 is 1

Given Input numbers are 103, 676, 864, 351

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 103, 676, 864, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 676, 864, 351 is 1.

Therefore, GCD of numbers 103, 676, 864, 351 is 1

Finding GCD of 103, 676, 864, 351 using Prime Factorization

Given Input Data is 103, 676, 864, 351

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

Prime Factorization of 103 is 103

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 103, 676, 864, 351 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(103, 676) = 69628

GCD(103, 676) = ( 103 x 676 ) / 69628

GCD(103, 676) = 69628 / 69628

GCD(103, 676) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 103, 676, 864, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 103, 676, 864, 351

1. What is the GCD of 103, 676, 864, 351?

GCD of 103, 676, 864, 351 is 1


2. Where do I get the detailed procedure to find GCD of 103, 676, 864, 351?

You can find a detailed procedure to find GCD of 103, 676, 864, 351 on our page.


3. How to find GCD of 103, 676, 864, 351 on a calculator?

You can find the GCD of 103, 676, 864, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.