GCD of 616, 628, 289 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 616, 628, 289 i.e. 1 largest integer that divides all the numbers equally.

GCD of 616, 628, 289 is 1

GCD(616, 628, 289) = 1

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

GCD of

GCD of numbers 616, 628, 289 is 1

GCD(616, 628, 289) = 1

GCD of 616,628,289 Calculator

GCDof 616,628,289 is 1

Given Input numbers are 616, 628, 289

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 616, 628, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 628, 289 is 1.

Therefore, GCD of numbers 616, 628, 289 is 1

Finding GCD of 616, 628, 289 using Prime Factorization

Given Input Data is 616, 628, 289

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 289 is 17 x 17

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

Finding GCD of 616, 628, 289 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(616, 628) = 96712

GCD(616, 628) = ( 616 x 628 ) / 96712

GCD(616, 628) = 386848 / 96712

GCD(616, 628) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 289

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

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

GCD(4, 289) = 1156 / 1156

GCD(4, 289) = 1

GCD of 616, 628, 289 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 616, 628, 289

1. What is the GCD of 616, 628, 289?

GCD of 616, 628, 289 is 1


2. Where do I get the detailed procedure to find GCD of 616, 628, 289?

You can find a detailed procedure to find GCD of 616, 628, 289 on our page.


3. How to find GCD of 616, 628, 289 on a calculator?

You can find the GCD of 616, 628, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.