GCD of 817, 157, 51, 689 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, 157, 51, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 817, 157, 51, 689 is 1

GCD(817, 157, 51, 689) = 1

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

GCD of

GCD of numbers 817, 157, 51, 689 is 1

GCD(817, 157, 51, 689) = 1

GCD of 817,157,51,689 Calculator

GCDof 817,157,51,689 is 1

Given Input numbers are 817, 157, 51, 689

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 817, 157, 51, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 157, 51, 689 is 1.

Therefore, GCD of numbers 817, 157, 51, 689 is 1

Finding GCD of 817, 157, 51, 689 using Prime Factorization

Given Input Data is 817, 157, 51, 689

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 157 is 157

Prime Factorization of 51 is 3 x 17

Prime Factorization of 689 is 13 x 53

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

Finding GCD of 817, 157, 51, 689 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, 157) = 128269

GCD(817, 157) = ( 817 x 157 ) / 128269

GCD(817, 157) = 128269 / 128269

GCD(817, 157) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 817, 157, 51, 689 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 817, 157, 51, 689

1. What is the GCD of 817, 157, 51, 689?

GCD of 817, 157, 51, 689 is 1


2. Where do I get the detailed procedure to find GCD of 817, 157, 51, 689?

You can find a detailed procedure to find GCD of 817, 157, 51, 689 on our page.


3. How to find GCD of 817, 157, 51, 689 on a calculator?

You can find the GCD of 817, 157, 51, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.