GCD of 788, 361, 76, 608 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 788, 361, 76, 608 i.e. 1 largest integer that divides all the numbers equally.

GCD of 788, 361, 76, 608 is 1

GCD(788, 361, 76, 608) = 1

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

GCD of

GCD of numbers 788, 361, 76, 608 is 1

GCD(788, 361, 76, 608) = 1

GCD of 788,361,76,608 Calculator

GCDof 788,361,76,608 is 1

Given Input numbers are 788, 361, 76, 608

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 788, 361, 76, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 361, 76, 608 is 1.

Therefore, GCD of numbers 788, 361, 76, 608 is 1

Finding GCD of 788, 361, 76, 608 using Prime Factorization

Given Input Data is 788, 361, 76, 608

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 361 is 19 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

Finding GCD of 788, 361, 76, 608 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(788, 361) = 284468

GCD(788, 361) = ( 788 x 361 ) / 284468

GCD(788, 361) = 284468 / 284468

GCD(788, 361) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 788, 361, 76, 608 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 788, 361, 76, 608

1. What is the GCD of 788, 361, 76, 608?

GCD of 788, 361, 76, 608 is 1


2. Where do I get the detailed procedure to find GCD of 788, 361, 76, 608?

You can find a detailed procedure to find GCD of 788, 361, 76, 608 on our page.


3. How to find GCD of 788, 361, 76, 608 on a calculator?

You can find the GCD of 788, 361, 76, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.