GCD of 733, 116, 329, 974 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 733, 116, 329, 974 i.e. 1 largest integer that divides all the numbers equally.

GCD of 733, 116, 329, 974 is 1

GCD(733, 116, 329, 974) = 1

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

GCD of

GCD of numbers 733, 116, 329, 974 is 1

GCD(733, 116, 329, 974) = 1

GCD of 733,116,329,974 Calculator

GCDof 733,116,329,974 is 1

Given Input numbers are 733, 116, 329, 974

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 733, 116, 329, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 116, 329, 974 is 1.

Therefore, GCD of numbers 733, 116, 329, 974 is 1

Finding GCD of 733, 116, 329, 974 using Prime Factorization

Given Input Data is 733, 116, 329, 974

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

Prime Factorization of 733 is 733

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 329 is 7 x 47

Prime Factorization of 974 is 2 x 487

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

Finding GCD of 733, 116, 329, 974 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(733, 116) = 85028

GCD(733, 116) = ( 733 x 116 ) / 85028

GCD(733, 116) = 85028 / 85028

GCD(733, 116) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 733, 116, 329, 974 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 733, 116, 329, 974

1. What is the GCD of 733, 116, 329, 974?

GCD of 733, 116, 329, 974 is 1


2. Where do I get the detailed procedure to find GCD of 733, 116, 329, 974?

You can find a detailed procedure to find GCD of 733, 116, 329, 974 on our page.


3. How to find GCD of 733, 116, 329, 974 on a calculator?

You can find the GCD of 733, 116, 329, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.