GCD of 787, 395, 114 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 787, 395, 114 i.e. 1 largest integer that divides all the numbers equally.

GCD of 787, 395, 114 is 1

GCD(787, 395, 114) = 1

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

GCD of

GCD of numbers 787, 395, 114 is 1

GCD(787, 395, 114) = 1

GCD of 787,395,114 Calculator

GCDof 787,395,114 is 1

Given Input numbers are 787, 395, 114

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 787, 395, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 395, 114 is 1.

Therefore, GCD of numbers 787, 395, 114 is 1

Finding GCD of 787, 395, 114 using Prime Factorization

Given Input Data is 787, 395, 114

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

Prime Factorization of 787 is 787

Prime Factorization of 395 is 5 x 79

Prime Factorization of 114 is 2 x 3 x 19

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

Finding GCD of 787, 395, 114 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(787, 395) = 310865

GCD(787, 395) = ( 787 x 395 ) / 310865

GCD(787, 395) = 310865 / 310865

GCD(787, 395) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 787, 395, 114 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 787, 395, 114

1. What is the GCD of 787, 395, 114?

GCD of 787, 395, 114 is 1


2. Where do I get the detailed procedure to find GCD of 787, 395, 114?

You can find a detailed procedure to find GCD of 787, 395, 114 on our page.


3. How to find GCD of 787, 395, 114 on a calculator?

You can find the GCD of 787, 395, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.