GCD of 378, 333, 103, 921 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 378, 333, 103, 921 i.e. 1 largest integer that divides all the numbers equally.

GCD of 378, 333, 103, 921 is 1

GCD(378, 333, 103, 921) = 1

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

GCD of

GCD of numbers 378, 333, 103, 921 is 1

GCD(378, 333, 103, 921) = 1

GCD of 378,333,103,921 Calculator

GCDof 378,333,103,921 is 1

Given Input numbers are 378, 333, 103, 921

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 103

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

1, 103

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 378, 333, 103, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 333, 103, 921 is 1.

Therefore, GCD of numbers 378, 333, 103, 921 is 1

Finding GCD of 378, 333, 103, 921 using Prime Factorization

Given Input Data is 378, 333, 103, 921

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 103 is 103

Prime Factorization of 921 is 3 x 307

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

Finding GCD of 378, 333, 103, 921 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(378, 333) = 13986

GCD(378, 333) = ( 378 x 333 ) / 13986

GCD(378, 333) = 125874 / 13986

GCD(378, 333) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 103

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

LCM(9, 103) = 927

GCD(9, 103) = ( 9 x 103 ) / 927

GCD(9, 103) = 927 / 927

GCD(9, 103) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 378, 333, 103, 921 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 378, 333, 103, 921

1. What is the GCD of 378, 333, 103, 921?

GCD of 378, 333, 103, 921 is 1


2. Where do I get the detailed procedure to find GCD of 378, 333, 103, 921?

You can find a detailed procedure to find GCD of 378, 333, 103, 921 on our page.


3. How to find GCD of 378, 333, 103, 921 on a calculator?

You can find the GCD of 378, 333, 103, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.