GCD of 121, 644, 55, 728 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 121, 644, 55, 728 i.e. 1 largest integer that divides all the numbers equally.

GCD of 121, 644, 55, 728 is 1

GCD(121, 644, 55, 728) = 1

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

GCD of

GCD of numbers 121, 644, 55, 728 is 1

GCD(121, 644, 55, 728) = 1

GCD of 121,644,55,728 Calculator

GCDof 121,644,55,728 is 1

Given Input numbers are 121, 644, 55, 728

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 121, 644, 55, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 644, 55, 728 is 1.

Therefore, GCD of numbers 121, 644, 55, 728 is 1

Finding GCD of 121, 644, 55, 728 using Prime Factorization

Given Input Data is 121, 644, 55, 728

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 55 is 5 x 11

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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

Finding GCD of 121, 644, 55, 728 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(121, 644) = 77924

GCD(121, 644) = ( 121 x 644 ) / 77924

GCD(121, 644) = 77924 / 77924

GCD(121, 644) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 121, 644, 55, 728 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 121, 644, 55, 728

1. What is the GCD of 121, 644, 55, 728?

GCD of 121, 644, 55, 728 is 1


2. Where do I get the detailed procedure to find GCD of 121, 644, 55, 728?

You can find a detailed procedure to find GCD of 121, 644, 55, 728 on our page.


3. How to find GCD of 121, 644, 55, 728 on a calculator?

You can find the GCD of 121, 644, 55, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.