GCD of 917, 582, 75 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 917, 582, 75 i.e. 1 largest integer that divides all the numbers equally.

GCD of 917, 582, 75 is 1

GCD(917, 582, 75) = 1

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

GCD of

GCD of numbers 917, 582, 75 is 1

GCD(917, 582, 75) = 1

GCD of 917,582,75 Calculator

GCDof 917,582,75 is 1

Given Input numbers are 917, 582, 75

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 917, 582, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 582, 75 is 1.

Therefore, GCD of numbers 917, 582, 75 is 1

Finding GCD of 917, 582, 75 using Prime Factorization

Given Input Data is 917, 582, 75

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 75 is 3 x 5 x 5

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

Finding GCD of 917, 582, 75 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(917, 582) = 533694

GCD(917, 582) = ( 917 x 582 ) / 533694

GCD(917, 582) = 533694 / 533694

GCD(917, 582) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 917, 582, 75 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 917, 582, 75

1. What is the GCD of 917, 582, 75?

GCD of 917, 582, 75 is 1


2. Where do I get the detailed procedure to find GCD of 917, 582, 75?

You can find a detailed procedure to find GCD of 917, 582, 75 on our page.


3. How to find GCD of 917, 582, 75 on a calculator?

You can find the GCD of 917, 582, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.