GCD of 133, 381, 349, 560 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 133, 381, 349, 560 i.e. 1 largest integer that divides all the numbers equally.

GCD of 133, 381, 349, 560 is 1

GCD(133, 381, 349, 560) = 1

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

GCD of

GCD of numbers 133, 381, 349, 560 is 1

GCD(133, 381, 349, 560) = 1

GCD of 133,381,349,560 Calculator

GCDof 133,381,349,560 is 1

Given Input numbers are 133, 381, 349, 560

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 133, 381, 349, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 381, 349, 560 is 1.

Therefore, GCD of numbers 133, 381, 349, 560 is 1

Finding GCD of 133, 381, 349, 560 using Prime Factorization

Given Input Data is 133, 381, 349, 560

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 381 is 3 x 127

Prime Factorization of 349 is 349

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Finding GCD of 133, 381, 349, 560 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(133, 381) = 50673

GCD(133, 381) = ( 133 x 381 ) / 50673

GCD(133, 381) = 50673 / 50673

GCD(133, 381) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 133, 381, 349, 560 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 133, 381, 349, 560

1. What is the GCD of 133, 381, 349, 560?

GCD of 133, 381, 349, 560 is 1


2. Where do I get the detailed procedure to find GCD of 133, 381, 349, 560?

You can find a detailed procedure to find GCD of 133, 381, 349, 560 on our page.


3. How to find GCD of 133, 381, 349, 560 on a calculator?

You can find the GCD of 133, 381, 349, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.