GCD of 404, 780, 628 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 404, 780, 628 i.e. 4 largest integer that divides all the numbers equally.

GCD of 404, 780, 628 is 4

GCD(404, 780, 628) = 4

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

GCD of

GCD of numbers 404, 780, 628 is 4

GCD(404, 780, 628) = 4

GCD of 404,780,628 Calculator

GCDof 404,780,628 is 4

Given Input numbers are 404, 780, 628

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 404, 780, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 780, 628 is 4.

Therefore, GCD of numbers 404, 780, 628 is 4

Finding GCD of 404, 780, 628 using Prime Factorization

Given Input Data is 404, 780, 628

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 628 is 2 x 2 x 157

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 404, 780, 628 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(404, 780) = 78780

GCD(404, 780) = ( 404 x 780 ) / 78780

GCD(404, 780) = 315120 / 78780

GCD(404, 780) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 628

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

LCM(4, 628) = 628

GCD(4, 628) = ( 4 x 628 ) / 628

GCD(4, 628) = 2512 / 628

GCD(4, 628) = 4

GCD of 404, 780, 628 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 404, 780, 628

1. What is the GCD of 404, 780, 628?

GCD of 404, 780, 628 is 4


2. Where do I get the detailed procedure to find GCD of 404, 780, 628?

You can find a detailed procedure to find GCD of 404, 780, 628 on our page.


3. How to find GCD of 404, 780, 628 on a calculator?

You can find the GCD of 404, 780, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.