GCD of 426, 238, 65, 917 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 426, 238, 65, 917 i.e. 1 largest integer that divides all the numbers equally.

GCD of 426, 238, 65, 917 is 1

GCD(426, 238, 65, 917) = 1

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

GCD of

GCD of numbers 426, 238, 65, 917 is 1

GCD(426, 238, 65, 917) = 1

GCD of 426,238,65,917 Calculator

GCDof 426,238,65,917 is 1

Given Input numbers are 426, 238, 65, 917

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 65

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

1, 5, 13, 65

Divisors of 917

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

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 426, 238, 65, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 238, 65, 917 is 1.

Therefore, GCD of numbers 426, 238, 65, 917 is 1

Finding GCD of 426, 238, 65, 917 using Prime Factorization

Given Input Data is 426, 238, 65, 917

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 65 is 5 x 13

Prime Factorization of 917 is 7 x 131

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

Finding GCD of 426, 238, 65, 917 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(426, 238) = 50694

GCD(426, 238) = ( 426 x 238 ) / 50694

GCD(426, 238) = 101388 / 50694

GCD(426, 238) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 426, 238, 65, 917 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 426, 238, 65, 917

1. What is the GCD of 426, 238, 65, 917?

GCD of 426, 238, 65, 917 is 1


2. Where do I get the detailed procedure to find GCD of 426, 238, 65, 917?

You can find a detailed procedure to find GCD of 426, 238, 65, 917 on our page.


3. How to find GCD of 426, 238, 65, 917 on a calculator?

You can find the GCD of 426, 238, 65, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.