GCD of 353, 380, 121, 721 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 353, 380, 121, 721 i.e. 1 largest integer that divides all the numbers equally.

GCD of 353, 380, 121, 721 is 1

GCD(353, 380, 121, 721) = 1

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

GCD of

GCD of numbers 353, 380, 121, 721 is 1

GCD(353, 380, 121, 721) = 1

GCD of 353,380,121,721 Calculator

GCDof 353,380,121,721 is 1

Given Input numbers are 353, 380, 121, 721

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 121

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

1, 11, 121

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 353, 380, 121, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 380, 121, 721 is 1.

Therefore, GCD of numbers 353, 380, 121, 721 is 1

Finding GCD of 353, 380, 121, 721 using Prime Factorization

Given Input Data is 353, 380, 121, 721

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

Prime Factorization of 353 is 353

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 121 is 11 x 11

Prime Factorization of 721 is 7 x 103

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

Finding GCD of 353, 380, 121, 721 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(353, 380) = 134140

GCD(353, 380) = ( 353 x 380 ) / 134140

GCD(353, 380) = 134140 / 134140

GCD(353, 380) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 353, 380, 121, 721 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 353, 380, 121, 721

1. What is the GCD of 353, 380, 121, 721?

GCD of 353, 380, 121, 721 is 1


2. Where do I get the detailed procedure to find GCD of 353, 380, 121, 721?

You can find a detailed procedure to find GCD of 353, 380, 121, 721 on our page.


3. How to find GCD of 353, 380, 121, 721 on a calculator?

You can find the GCD of 353, 380, 121, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.