GCD of 912, 313, 782 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 912, 313, 782 i.e. 1 largest integer that divides all the numbers equally.

GCD of 912, 313, 782 is 1

GCD(912, 313, 782) = 1

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

GCD of

GCD of numbers 912, 313, 782 is 1

GCD(912, 313, 782) = 1

GCD of 912,313,782 Calculator

GCDof 912,313,782 is 1

Given Input numbers are 912, 313, 782

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 912, 313, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 313, 782 is 1.

Therefore, GCD of numbers 912, 313, 782 is 1

Finding GCD of 912, 313, 782 using Prime Factorization

Given Input Data is 912, 313, 782

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 313 is 313

Prime Factorization of 782 is 2 x 17 x 23

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

Finding GCD of 912, 313, 782 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(912, 313) = 285456

GCD(912, 313) = ( 912 x 313 ) / 285456

GCD(912, 313) = 285456 / 285456

GCD(912, 313) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 912, 313, 782 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 912, 313, 782

1. What is the GCD of 912, 313, 782?

GCD of 912, 313, 782 is 1


2. Where do I get the detailed procedure to find GCD of 912, 313, 782?

You can find a detailed procedure to find GCD of 912, 313, 782 on our page.


3. How to find GCD of 912, 313, 782 on a calculator?

You can find the GCD of 912, 313, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.