GCD of 517, 844, 65, 442 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, 844, 65, 442 i.e. 1 largest integer that divides all the numbers equally.

GCD of 517, 844, 65, 442 is 1

GCD(517, 844, 65, 442) = 1

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

GCD of

GCD of numbers 517, 844, 65, 442 is 1

GCD(517, 844, 65, 442) = 1

GCD of 517,844,65,442 Calculator

GCDof 517,844,65,442 is 1

Given Input numbers are 517, 844, 65, 442

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 517, 844, 65, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 844, 65, 442 is 1.

Therefore, GCD of numbers 517, 844, 65, 442 is 1

Finding GCD of 517, 844, 65, 442 using Prime Factorization

Given Input Data is 517, 844, 65, 442

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 65 is 5 x 13

Prime Factorization of 442 is 2 x 13 x 17

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

Finding GCD of 517, 844, 65, 442 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, 844) = 436348

GCD(517, 844) = ( 517 x 844 ) / 436348

GCD(517, 844) = 436348 / 436348

GCD(517, 844) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 517, 844, 65, 442 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 517, 844, 65, 442

1. What is the GCD of 517, 844, 65, 442?

GCD of 517, 844, 65, 442 is 1


2. Where do I get the detailed procedure to find GCD of 517, 844, 65, 442?

You can find a detailed procedure to find GCD of 517, 844, 65, 442 on our page.


3. How to find GCD of 517, 844, 65, 442 on a calculator?

You can find the GCD of 517, 844, 65, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.