GCD of 438, 848, 35, 817 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 438, 848, 35, 817 i.e. 1 largest integer that divides all the numbers equally.

GCD of 438, 848, 35, 817 is 1

GCD(438, 848, 35, 817) = 1

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

GCD of

GCD of numbers 438, 848, 35, 817 is 1

GCD(438, 848, 35, 817) = 1

GCD of 438,848,35,817 Calculator

GCDof 438,848,35,817 is 1

Given Input numbers are 438, 848, 35, 817

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 438, 848, 35, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 848, 35, 817 is 1.

Therefore, GCD of numbers 438, 848, 35, 817 is 1

Finding GCD of 438, 848, 35, 817 using Prime Factorization

Given Input Data is 438, 848, 35, 817

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 35 is 5 x 7

Prime Factorization of 817 is 19 x 43

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

Finding GCD of 438, 848, 35, 817 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(438, 848) = 185712

GCD(438, 848) = ( 438 x 848 ) / 185712

GCD(438, 848) = 371424 / 185712

GCD(438, 848) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 438, 848, 35, 817 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 438, 848, 35, 817

1. What is the GCD of 438, 848, 35, 817?

GCD of 438, 848, 35, 817 is 1


2. Where do I get the detailed procedure to find GCD of 438, 848, 35, 817?

You can find a detailed procedure to find GCD of 438, 848, 35, 817 on our page.


3. How to find GCD of 438, 848, 35, 817 on a calculator?

You can find the GCD of 438, 848, 35, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.