GCD of 817, 874, 58, 188 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 817, 874, 58, 188 i.e. 1 largest integer that divides all the numbers equally.

GCD of 817, 874, 58, 188 is 1

GCD(817, 874, 58, 188) = 1

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

GCD of

GCD of numbers 817, 874, 58, 188 is 1

GCD(817, 874, 58, 188) = 1

GCD of 817,874,58,188 Calculator

GCDof 817,874,58,188 is 1

Given Input numbers are 817, 874, 58, 188

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

Divisors of 817

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

1, 19, 43, 817

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 817, 874, 58, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 874, 58, 188 is 1.

Therefore, GCD of numbers 817, 874, 58, 188 is 1

Finding GCD of 817, 874, 58, 188 using Prime Factorization

Given Input Data is 817, 874, 58, 188

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 188 is 2 x 2 x 47

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

Finding GCD of 817, 874, 58, 188 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(817, 874) = 37582

GCD(817, 874) = ( 817 x 874 ) / 37582

GCD(817, 874) = 714058 / 37582

GCD(817, 874) = 19


Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 58

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

LCM(19, 58) = 1102

GCD(19, 58) = ( 19 x 58 ) / 1102

GCD(19, 58) = 1102 / 1102

GCD(19, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 817, 874, 58, 188 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 817, 874, 58, 188

1. What is the GCD of 817, 874, 58, 188?

GCD of 817, 874, 58, 188 is 1


2. Where do I get the detailed procedure to find GCD of 817, 874, 58, 188?

You can find a detailed procedure to find GCD of 817, 874, 58, 188 on our page.


3. How to find GCD of 817, 874, 58, 188 on a calculator?

You can find the GCD of 817, 874, 58, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.