GCD of 756, 609, 353 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 756, 609, 353 i.e. 1 largest integer that divides all the numbers equally.

GCD of 756, 609, 353 is 1

GCD(756, 609, 353) = 1

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

GCD of

GCD of numbers 756, 609, 353 is 1

GCD(756, 609, 353) = 1

GCD of 756,609,353 Calculator

GCDof 756,609,353 is 1

Given Input numbers are 756, 609, 353

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 756, 609, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 609, 353 is 1.

Therefore, GCD of numbers 756, 609, 353 is 1

Finding GCD of 756, 609, 353 using Prime Factorization

Given Input Data is 756, 609, 353

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 353 is 353

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

Finding GCD of 756, 609, 353 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(756, 609) = 21924

GCD(756, 609) = ( 756 x 609 ) / 21924

GCD(756, 609) = 460404 / 21924

GCD(756, 609) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 353

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

LCM(21, 353) = 7413

GCD(21, 353) = ( 21 x 353 ) / 7413

GCD(21, 353) = 7413 / 7413

GCD(21, 353) = 1

GCD of 756, 609, 353 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 756, 609, 353

1. What is the GCD of 756, 609, 353?

GCD of 756, 609, 353 is 1

2. Where do I get the detailed procedure to find GCD of 756, 609, 353?

You can find a detailed procedure to find GCD of 756, 609, 353 on our page.

3. How to find GCD of 756, 609, 353 on a calculator?

You can find the GCD of 756, 609, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.