GCD of 366, 523, 380 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 366, 523, 380 i.e. 1 largest integer that divides all the numbers equally.

GCD of 366, 523, 380 is 1

GCD(366, 523, 380) = 1

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

GCD of

GCD of numbers 366, 523, 380 is 1

GCD(366, 523, 380) = 1

GCD of 366,523,380 Calculator

GCDof 366,523,380 is 1

Given Input numbers are 366, 523, 380

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 366, 523, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 523, 380 is 1.

Therefore, GCD of numbers 366, 523, 380 is 1

Finding GCD of 366, 523, 380 using Prime Factorization

Given Input Data is 366, 523, 380

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 523 is 523

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Finding GCD of 366, 523, 380 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(366, 523) = 191418

GCD(366, 523) = ( 366 x 523 ) / 191418

GCD(366, 523) = 191418 / 191418

GCD(366, 523) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 366, 523, 380 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 366, 523, 380

1. What is the GCD of 366, 523, 380?

GCD of 366, 523, 380 is 1


2. Where do I get the detailed procedure to find GCD of 366, 523, 380?

You can find a detailed procedure to find GCD of 366, 523, 380 on our page.


3. How to find GCD of 366, 523, 380 on a calculator?

You can find the GCD of 366, 523, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.