GCD of 771, 393, 14, 904 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 771, 393, 14, 904 i.e. 1 largest integer that divides all the numbers equally.

GCD of 771, 393, 14, 904 is 1

GCD(771, 393, 14, 904) = 1

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

GCD of

GCD of numbers 771, 393, 14, 904 is 1

GCD(771, 393, 14, 904) = 1

GCD of 771,393,14,904 Calculator

GCDof 771,393,14,904 is 1

Given Input numbers are 771, 393, 14, 904

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 771, 393, 14, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 393, 14, 904 is 1.

Therefore, GCD of numbers 771, 393, 14, 904 is 1

Finding GCD of 771, 393, 14, 904 using Prime Factorization

Given Input Data is 771, 393, 14, 904

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 393 is 3 x 131

Prime Factorization of 14 is 2 x 7

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

Finding GCD of 771, 393, 14, 904 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(771, 393) = 101001

GCD(771, 393) = ( 771 x 393 ) / 101001

GCD(771, 393) = 303003 / 101001

GCD(771, 393) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 771, 393, 14, 904 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 771, 393, 14, 904

1. What is the GCD of 771, 393, 14, 904?

GCD of 771, 393, 14, 904 is 1


2. Where do I get the detailed procedure to find GCD of 771, 393, 14, 904?

You can find a detailed procedure to find GCD of 771, 393, 14, 904 on our page.


3. How to find GCD of 771, 393, 14, 904 on a calculator?

You can find the GCD of 771, 393, 14, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.