GCD of 133, 814, 51, 537 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, 814, 51, 537 i.e. 1 largest integer that divides all the numbers equally.

GCD of 133, 814, 51, 537 is 1

GCD(133, 814, 51, 537) = 1

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

GCD of

GCD of numbers 133, 814, 51, 537 is 1

GCD(133, 814, 51, 537) = 1

GCD of 133,814,51,537 Calculator

GCDof 133,814,51,537 is 1

Given Input numbers are 133, 814, 51, 537

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 133, 814, 51, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 814, 51, 537 is 1.

Therefore, GCD of numbers 133, 814, 51, 537 is 1

Finding GCD of 133, 814, 51, 537 using Prime Factorization

Given Input Data is 133, 814, 51, 537

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 51 is 3 x 17

Prime Factorization of 537 is 3 x 179

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

Finding GCD of 133, 814, 51, 537 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, 814) = 108262

GCD(133, 814) = ( 133 x 814 ) / 108262

GCD(133, 814) = 108262 / 108262

GCD(133, 814) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 133, 814, 51, 537 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 133, 814, 51, 537

1. What is the GCD of 133, 814, 51, 537?

GCD of 133, 814, 51, 537 is 1


2. Where do I get the detailed procedure to find GCD of 133, 814, 51, 537?

You can find a detailed procedure to find GCD of 133, 814, 51, 537 on our page.


3. How to find GCD of 133, 814, 51, 537 on a calculator?

You can find the GCD of 133, 814, 51, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.