GCD of 509, 379, 49, 733 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 509, 379, 49, 733 i.e. 1 largest integer that divides all the numbers equally.

GCD of 509, 379, 49, 733 is 1

GCD(509, 379, 49, 733) = 1

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

GCD of

GCD of numbers 509, 379, 49, 733 is 1

GCD(509, 379, 49, 733) = 1

GCD of 509,379,49,733 Calculator

GCDof 509,379,49,733 is 1

Given Input numbers are 509, 379, 49, 733

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 733

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

1, 733

Greatest Common Divisior

We found the divisors of 509, 379, 49, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 379, 49, 733 is 1.

Therefore, GCD of numbers 509, 379, 49, 733 is 1

Finding GCD of 509, 379, 49, 733 using Prime Factorization

Given Input Data is 509, 379, 49, 733

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

Prime Factorization of 509 is 509

Prime Factorization of 379 is 379

Prime Factorization of 49 is 7 x 7

Prime Factorization of 733 is 733

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

Finding GCD of 509, 379, 49, 733 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(509, 379) = 192911

GCD(509, 379) = ( 509 x 379 ) / 192911

GCD(509, 379) = 192911 / 192911

GCD(509, 379) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 509, 379, 49, 733 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 509, 379, 49, 733

1. What is the GCD of 509, 379, 49, 733?

GCD of 509, 379, 49, 733 is 1


2. Where do I get the detailed procedure to find GCD of 509, 379, 49, 733?

You can find a detailed procedure to find GCD of 509, 379, 49, 733 on our page.


3. How to find GCD of 509, 379, 49, 733 on a calculator?

You can find the GCD of 509, 379, 49, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.