GCD of 74, 684, 383, 184 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 74, 684, 383, 184 i.e. 1 largest integer that divides all the numbers equally.

GCD of 74, 684, 383, 184 is 1

GCD(74, 684, 383, 184) = 1

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

GCD of

GCD of numbers 74, 684, 383, 184 is 1

GCD(74, 684, 383, 184) = 1

GCD of 74,684,383,184 Calculator

GCDof 74,684,383,184 is 1

Given Input numbers are 74, 684, 383, 184

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 74, 684, 383, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 684, 383, 184 is 1.

Therefore, GCD of numbers 74, 684, 383, 184 is 1

Finding GCD of 74, 684, 383, 184 using Prime Factorization

Given Input Data is 74, 684, 383, 184

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 383 is 383

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Finding GCD of 74, 684, 383, 184 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(74, 684) = 25308

GCD(74, 684) = ( 74 x 684 ) / 25308

GCD(74, 684) = 50616 / 25308

GCD(74, 684) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 383

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

LCM(2, 383) = 766

GCD(2, 383) = ( 2 x 383 ) / 766

GCD(2, 383) = 766 / 766

GCD(2, 383) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 74, 684, 383, 184 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 74, 684, 383, 184

1. What is the GCD of 74, 684, 383, 184?

GCD of 74, 684, 383, 184 is 1


2. Where do I get the detailed procedure to find GCD of 74, 684, 383, 184?

You can find a detailed procedure to find GCD of 74, 684, 383, 184 on our page.


3. How to find GCD of 74, 684, 383, 184 on a calculator?

You can find the GCD of 74, 684, 383, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.