GCD of 102, 175, 317 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 102, 175, 317 i.e. 1 largest integer that divides all the numbers equally.

GCD of 102, 175, 317 is 1

GCD(102, 175, 317) = 1

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

GCD of

GCD of numbers 102, 175, 317 is 1

GCD(102, 175, 317) = 1

GCD of 102,175,317 Calculator

GCDof 102,175,317 is 1

Given Input numbers are 102, 175, 317

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 102, 175, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 175, 317 is 1.

Therefore, GCD of numbers 102, 175, 317 is 1

Finding GCD of 102, 175, 317 using Prime Factorization

Given Input Data is 102, 175, 317

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 317 is 317

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

Finding GCD of 102, 175, 317 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(102, 175) = 17850

GCD(102, 175) = ( 102 x 175 ) / 17850

GCD(102, 175) = 17850 / 17850

GCD(102, 175) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 102, 175, 317 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 102, 175, 317

1. What is the GCD of 102, 175, 317?

GCD of 102, 175, 317 is 1


2. Where do I get the detailed procedure to find GCD of 102, 175, 317?

You can find a detailed procedure to find GCD of 102, 175, 317 on our page.


3. How to find GCD of 102, 175, 317 on a calculator?

You can find the GCD of 102, 175, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.