GCD of 510, 939, 58, 924 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 510, 939, 58, 924 i.e. 1 largest integer that divides all the numbers equally.

GCD of 510, 939, 58, 924 is 1

GCD(510, 939, 58, 924) = 1

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

GCD of

GCD of numbers 510, 939, 58, 924 is 1

GCD(510, 939, 58, 924) = 1

GCD of 510,939,58,924 Calculator

GCDof 510,939,58,924 is 1

Given Input numbers are 510, 939, 58, 924

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 510, 939, 58, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 939, 58, 924 is 1.

Therefore, GCD of numbers 510, 939, 58, 924 is 1

Finding GCD of 510, 939, 58, 924 using Prime Factorization

Given Input Data is 510, 939, 58, 924

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 939 is 3 x 313

Prime Factorization of 58 is 2 x 29

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Finding GCD of 510, 939, 58, 924 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(510, 939) = 159630

GCD(510, 939) = ( 510 x 939 ) / 159630

GCD(510, 939) = 478890 / 159630

GCD(510, 939) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 510, 939, 58, 924 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 510, 939, 58, 924

1. What is the GCD of 510, 939, 58, 924?

GCD of 510, 939, 58, 924 is 1


2. Where do I get the detailed procedure to find GCD of 510, 939, 58, 924?

You can find a detailed procedure to find GCD of 510, 939, 58, 924 on our page.


3. How to find GCD of 510, 939, 58, 924 on a calculator?

You can find the GCD of 510, 939, 58, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.