GCD of 507, 825, 334 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 507, 825, 334 i.e. 1 largest integer that divides all the numbers equally.

GCD of 507, 825, 334 is 1

GCD(507, 825, 334) = 1

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

GCD of

GCD of numbers 507, 825, 334 is 1

GCD(507, 825, 334) = 1

GCD of 507,825,334 Calculator

GCDof 507,825,334 is 1

Given Input numbers are 507, 825, 334

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 507, 825, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 825, 334 is 1.

Therefore, GCD of numbers 507, 825, 334 is 1

Finding GCD of 507, 825, 334 using Prime Factorization

Given Input Data is 507, 825, 334

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 334 is 2 x 167

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

Finding GCD of 507, 825, 334 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(507, 825) = 139425

GCD(507, 825) = ( 507 x 825 ) / 139425

GCD(507, 825) = 418275 / 139425

GCD(507, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

GCD of 507, 825, 334 is 1

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FAQs on GCD of numbers 507, 825, 334

1. What is the GCD of 507, 825, 334?

GCD of 507, 825, 334 is 1

2. Where do I get the detailed procedure to find GCD of 507, 825, 334?

You can find a detailed procedure to find GCD of 507, 825, 334 on our page.

3. How to find GCD of 507, 825, 334 on a calculator?

You can find the GCD of 507, 825, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.