GCD of 386, 684, 79, 523 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 386, 684, 79, 523 i.e. 1 largest integer that divides all the numbers equally.

GCD of 386, 684, 79, 523 is 1

GCD(386, 684, 79, 523) = 1

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

GCD of

GCD of numbers 386, 684, 79, 523 is 1

GCD(386, 684, 79, 523) = 1

GCD of 386,684,79,523 Calculator

GCDof 386,684,79,523 is 1

Given Input numbers are 386, 684, 79, 523

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 523

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

1, 523

Greatest Common Divisior

We found the divisors of 386, 684, 79, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 684, 79, 523 is 1.

Therefore, GCD of numbers 386, 684, 79, 523 is 1

Finding GCD of 386, 684, 79, 523 using Prime Factorization

Given Input Data is 386, 684, 79, 523

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

Prime Factorization of 386 is 2 x 193

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

Prime Factorization of 79 is 79

Prime Factorization of 523 is 523

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

Finding GCD of 386, 684, 79, 523 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(386, 684) = 132012

GCD(386, 684) = ( 386 x 684 ) / 132012

GCD(386, 684) = 264024 / 132012

GCD(386, 684) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 386, 684, 79, 523 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 386, 684, 79, 523

1. What is the GCD of 386, 684, 79, 523?

GCD of 386, 684, 79, 523 is 1


2. Where do I get the detailed procedure to find GCD of 386, 684, 79, 523?

You can find a detailed procedure to find GCD of 386, 684, 79, 523 on our page.


3. How to find GCD of 386, 684, 79, 523 on a calculator?

You can find the GCD of 386, 684, 79, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.