GCD of 689, 812, 715, 307 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 689, 812, 715, 307 i.e. 1 largest integer that divides all the numbers equally.

GCD of 689, 812, 715, 307 is 1

GCD(689, 812, 715, 307) = 1

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

GCD of

GCD of numbers 689, 812, 715, 307 is 1

GCD(689, 812, 715, 307) = 1

GCD of 689,812,715,307 Calculator

GCDof 689,812,715,307 is 1

Given Input numbers are 689, 812, 715, 307

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 689, 812, 715, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 812, 715, 307 is 1.

Therefore, GCD of numbers 689, 812, 715, 307 is 1

Finding GCD of 689, 812, 715, 307 using Prime Factorization

Given Input Data is 689, 812, 715, 307

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 307 is 307

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

Finding GCD of 689, 812, 715, 307 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(689, 812) = 559468

GCD(689, 812) = ( 689 x 812 ) / 559468

GCD(689, 812) = 559468 / 559468

GCD(689, 812) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 689, 812, 715, 307 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 689, 812, 715, 307

1. What is the GCD of 689, 812, 715, 307?

GCD of 689, 812, 715, 307 is 1


2. Where do I get the detailed procedure to find GCD of 689, 812, 715, 307?

You can find a detailed procedure to find GCD of 689, 812, 715, 307 on our page.


3. How to find GCD of 689, 812, 715, 307 on a calculator?

You can find the GCD of 689, 812, 715, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.