GCD of 916, 668, 789, 477 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 916, 668, 789, 477 i.e. 1 largest integer that divides all the numbers equally.

GCD of 916, 668, 789, 477 is 1

GCD(916, 668, 789, 477) = 1

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

GCD of

GCD of numbers 916, 668, 789, 477 is 1

GCD(916, 668, 789, 477) = 1

GCD of 916,668,789,477 Calculator

GCDof 916,668,789,477 is 1

Given Input numbers are 916, 668, 789, 477

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 916, 668, 789, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 668, 789, 477 is 1.

Therefore, GCD of numbers 916, 668, 789, 477 is 1

Finding GCD of 916, 668, 789, 477 using Prime Factorization

Given Input Data is 916, 668, 789, 477

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 789 is 3 x 263

Prime Factorization of 477 is 3 x 3 x 53

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

Finding GCD of 916, 668, 789, 477 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(916, 668) = 152972

GCD(916, 668) = ( 916 x 668 ) / 152972

GCD(916, 668) = 611888 / 152972

GCD(916, 668) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 789

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

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

GCD(4, 789) = 3156 / 3156

GCD(4, 789) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 916, 668, 789, 477 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 916, 668, 789, 477

1. What is the GCD of 916, 668, 789, 477?

GCD of 916, 668, 789, 477 is 1


2. Where do I get the detailed procedure to find GCD of 916, 668, 789, 477?

You can find a detailed procedure to find GCD of 916, 668, 789, 477 on our page.


3. How to find GCD of 916, 668, 789, 477 on a calculator?

You can find the GCD of 916, 668, 789, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.