GCD of 717, 872, 46, 196 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 717, 872, 46, 196 i.e. 1 largest integer that divides all the numbers equally.

GCD of 717, 872, 46, 196 is 1

GCD(717, 872, 46, 196) = 1

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

GCD of

GCD of numbers 717, 872, 46, 196 is 1

GCD(717, 872, 46, 196) = 1

GCD of 717,872,46,196 Calculator

GCDof 717,872,46,196 is 1

Given Input numbers are 717, 872, 46, 196

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 717, 872, 46, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 872, 46, 196 is 1.

Therefore, GCD of numbers 717, 872, 46, 196 is 1

Finding GCD of 717, 872, 46, 196 using Prime Factorization

Given Input Data is 717, 872, 46, 196

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 46 is 2 x 23

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Finding GCD of 717, 872, 46, 196 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(717, 872) = 625224

GCD(717, 872) = ( 717 x 872 ) / 625224

GCD(717, 872) = 625224 / 625224

GCD(717, 872) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 717, 872, 46, 196 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 717, 872, 46, 196

1. What is the GCD of 717, 872, 46, 196?

GCD of 717, 872, 46, 196 is 1


2. Where do I get the detailed procedure to find GCD of 717, 872, 46, 196?

You can find a detailed procedure to find GCD of 717, 872, 46, 196 on our page.


3. How to find GCD of 717, 872, 46, 196 on a calculator?

You can find the GCD of 717, 872, 46, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.