GCD of 289, 124, 616, 550 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 289, 124, 616, 550 i.e. 1 largest integer that divides all the numbers equally.

GCD of 289, 124, 616, 550 is 1

GCD(289, 124, 616, 550) = 1

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

GCD of

GCD of numbers 289, 124, 616, 550 is 1

GCD(289, 124, 616, 550) = 1

GCD of 289,124,616,550 Calculator

GCDof 289,124,616,550 is 1

Given Input numbers are 289, 124, 616, 550

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

Divisors of 289

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

1, 17, 289

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 289, 124, 616, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 124, 616, 550 is 1.

Therefore, GCD of numbers 289, 124, 616, 550 is 1

Finding GCD of 289, 124, 616, 550 using Prime Factorization

Given Input Data is 289, 124, 616, 550

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 124 is 2 x 2 x 31

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

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

Finding GCD of 289, 124, 616, 550 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(289, 124) = 35836

GCD(289, 124) = ( 289 x 124 ) / 35836

GCD(289, 124) = 35836 / 35836

GCD(289, 124) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 289, 124, 616, 550 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 289, 124, 616, 550

1. What is the GCD of 289, 124, 616, 550?

GCD of 289, 124, 616, 550 is 1


2. Where do I get the detailed procedure to find GCD of 289, 124, 616, 550?

You can find a detailed procedure to find GCD of 289, 124, 616, 550 on our page.


3. How to find GCD of 289, 124, 616, 550 on a calculator?

You can find the GCD of 289, 124, 616, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.