GCD of 104, 369, 45, 683 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 104, 369, 45, 683 i.e. 1 largest integer that divides all the numbers equally.

GCD of 104, 369, 45, 683 is 1

GCD(104, 369, 45, 683) = 1

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

GCD of

GCD of numbers 104, 369, 45, 683 is 1

GCD(104, 369, 45, 683) = 1

GCD of 104,369,45,683 Calculator

GCDof 104,369,45,683 is 1

Given Input numbers are 104, 369, 45, 683

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 104, 369, 45, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 369, 45, 683 is 1.

Therefore, GCD of numbers 104, 369, 45, 683 is 1

Finding GCD of 104, 369, 45, 683 using Prime Factorization

Given Input Data is 104, 369, 45, 683

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 683 is 683

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

Finding GCD of 104, 369, 45, 683 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(104, 369) = 38376

GCD(104, 369) = ( 104 x 369 ) / 38376

GCD(104, 369) = 38376 / 38376

GCD(104, 369) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 104, 369, 45, 683 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 369, 45, 683

1. What is the GCD of 104, 369, 45, 683?

GCD of 104, 369, 45, 683 is 1


2. Where do I get the detailed procedure to find GCD of 104, 369, 45, 683?

You can find a detailed procedure to find GCD of 104, 369, 45, 683 on our page.


3. How to find GCD of 104, 369, 45, 683 on a calculator?

You can find the GCD of 104, 369, 45, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.