GCD of 728, 767, 388 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 728, 767, 388 i.e. 1 largest integer that divides all the numbers equally.

GCD of 728, 767, 388 is 1

GCD(728, 767, 388) = 1

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

GCD of

GCD of numbers 728, 767, 388 is 1

GCD(728, 767, 388) = 1

GCD of 728,767,388 Calculator

GCDof 728,767,388 is 1

Given Input numbers are 728, 767, 388

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 728, 767, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 767, 388 is 1.

Therefore, GCD of numbers 728, 767, 388 is 1

Finding GCD of 728, 767, 388 using Prime Factorization

Given Input Data is 728, 767, 388

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 767 is 13 x 59

Prime Factorization of 388 is 2 x 2 x 97

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

Finding GCD of 728, 767, 388 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(728, 767) = 42952

GCD(728, 767) = ( 728 x 767 ) / 42952

GCD(728, 767) = 558376 / 42952

GCD(728, 767) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 388

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

LCM(13, 388) = 5044

GCD(13, 388) = ( 13 x 388 ) / 5044

GCD(13, 388) = 5044 / 5044

GCD(13, 388) = 1

GCD of 728, 767, 388 is 1

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FAQs on GCD of numbers 728, 767, 388

1. What is the GCD of 728, 767, 388?

GCD of 728, 767, 388 is 1

2. Where do I get the detailed procedure to find GCD of 728, 767, 388?

You can find a detailed procedure to find GCD of 728, 767, 388 on our page.

3. How to find GCD of 728, 767, 388 on a calculator?

You can find the GCD of 728, 767, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.