GCD of 238, 357, 417 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 238, 357, 417 i.e. 1 largest integer that divides all the numbers equally.

GCD of 238, 357, 417 is 1

GCD(238, 357, 417) = 1

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

GCD of

GCD of numbers 238, 357, 417 is 1

GCD(238, 357, 417) = 1

GCD of 238,357,417 Calculator

GCDof 238,357,417 is 1

Given Input numbers are 238, 357, 417

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 238, 357, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 357, 417 is 1.

Therefore, GCD of numbers 238, 357, 417 is 1

Finding GCD of 238, 357, 417 using Prime Factorization

Given Input Data is 238, 357, 417

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 417 is 3 x 139

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

Finding GCD of 238, 357, 417 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(238, 357) = 714

GCD(238, 357) = ( 238 x 357 ) / 714

GCD(238, 357) = 84966 / 714

GCD(238, 357) = 119

Step2:

Here we consider the GCD from the above i.e. 119 as first number and the next as 417

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

LCM(119, 417) = 49623

GCD(119, 417) = ( 119 x 417 ) / 49623

GCD(119, 417) = 49623 / 49623

GCD(119, 417) = 1

GCD of 238, 357, 417 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 238, 357, 417

1. What is the GCD of 238, 357, 417?

GCD of 238, 357, 417 is 1

2. Where do I get the detailed procedure to find GCD of 238, 357, 417?

You can find a detailed procedure to find GCD of 238, 357, 417 on our page.

3. How to find GCD of 238, 357, 417 on a calculator?

You can find the GCD of 238, 357, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.