GCD of 517, 938, 28 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 517, 938, 28 i.e. 1 largest integer that divides all the numbers equally.

GCD of 517, 938, 28 is 1

GCD(517, 938, 28) = 1

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

GCD of

GCD of numbers 517, 938, 28 is 1

GCD(517, 938, 28) = 1

GCD of 517,938,28 Calculator

GCDof 517,938,28 is 1

Given Input numbers are 517, 938, 28

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 517, 938, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 938, 28 is 1.

Therefore, GCD of numbers 517, 938, 28 is 1

Finding GCD of 517, 938, 28 using Prime Factorization

Given Input Data is 517, 938, 28

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 28 is 2 x 2 x 7

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

Finding GCD of 517, 938, 28 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(517, 938) = 484946

GCD(517, 938) = ( 517 x 938 ) / 484946

GCD(517, 938) = 484946 / 484946

GCD(517, 938) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

GCD of 517, 938, 28 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 517, 938, 28

1. What is the GCD of 517, 938, 28?

GCD of 517, 938, 28 is 1


2. Where do I get the detailed procedure to find GCD of 517, 938, 28?

You can find a detailed procedure to find GCD of 517, 938, 28 on our page.


3. How to find GCD of 517, 938, 28 on a calculator?

You can find the GCD of 517, 938, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.