GCD of 133, 693, 92, 321 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, 693, 92, 321 i.e. 1 largest integer that divides all the numbers equally.

GCD of 133, 693, 92, 321 is 1

GCD(133, 693, 92, 321) = 1

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

GCD of

GCD of numbers 133, 693, 92, 321 is 1

GCD(133, 693, 92, 321) = 1

GCD of 133,693,92,321 Calculator

GCDof 133,693,92,321 is 1

Given Input numbers are 133, 693, 92, 321

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 133, 693, 92, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 693, 92, 321 is 1.

Therefore, GCD of numbers 133, 693, 92, 321 is 1

Finding GCD of 133, 693, 92, 321 using Prime Factorization

Given Input Data is 133, 693, 92, 321

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 321 is 3 x 107

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

Finding GCD of 133, 693, 92, 321 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, 693) = 13167

GCD(133, 693) = ( 133 x 693 ) / 13167

GCD(133, 693) = 92169 / 13167

GCD(133, 693) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 92

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

LCM(7, 92) = 644

GCD(7, 92) = ( 7 x 92 ) / 644

GCD(7, 92) = 644 / 644

GCD(7, 92) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 133, 693, 92, 321 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 133, 693, 92, 321

1. What is the GCD of 133, 693, 92, 321?

GCD of 133, 693, 92, 321 is 1


2. Where do I get the detailed procedure to find GCD of 133, 693, 92, 321?

You can find a detailed procedure to find GCD of 133, 693, 92, 321 on our page.


3. How to find GCD of 133, 693, 92, 321 on a calculator?

You can find the GCD of 133, 693, 92, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.