GCD of 993, 722, 645, 434 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 993, 722, 645, 434 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 722, 645, 434 is 1

GCD(993, 722, 645, 434) = 1

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

GCD of

GCD of numbers 993, 722, 645, 434 is 1

GCD(993, 722, 645, 434) = 1

GCD of 993,722,645,434 Calculator

GCDof 993,722,645,434 is 1

Given Input numbers are 993, 722, 645, 434

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 993, 722, 645, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 722, 645, 434 is 1.

Therefore, GCD of numbers 993, 722, 645, 434 is 1

Finding GCD of 993, 722, 645, 434 using Prime Factorization

Given Input Data is 993, 722, 645, 434

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 434 is 2 x 7 x 31

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

Finding GCD of 993, 722, 645, 434 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(993, 722) = 716946

GCD(993, 722) = ( 993 x 722 ) / 716946

GCD(993, 722) = 716946 / 716946

GCD(993, 722) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 993, 722, 645, 434 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 722, 645, 434

1. What is the GCD of 993, 722, 645, 434?

GCD of 993, 722, 645, 434 is 1


2. Where do I get the detailed procedure to find GCD of 993, 722, 645, 434?

You can find a detailed procedure to find GCD of 993, 722, 645, 434 on our page.


3. How to find GCD of 993, 722, 645, 434 on a calculator?

You can find the GCD of 993, 722, 645, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.