GCD of 687, 111, 79, 989 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 687, 111, 79, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 687, 111, 79, 989 is 1

GCD(687, 111, 79, 989) = 1

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

GCD of

GCD of numbers 687, 111, 79, 989 is 1

GCD(687, 111, 79, 989) = 1

GCD of 687,111,79,989 Calculator

GCDof 687,111,79,989 is 1

Given Input numbers are 687, 111, 79, 989

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 687, 111, 79, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 111, 79, 989 is 1.

Therefore, GCD of numbers 687, 111, 79, 989 is 1

Finding GCD of 687, 111, 79, 989 using Prime Factorization

Given Input Data is 687, 111, 79, 989

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 111 is 3 x 37

Prime Factorization of 79 is 79

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 687, 111, 79, 989 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(687, 111) = 25419

GCD(687, 111) = ( 687 x 111 ) / 25419

GCD(687, 111) = 76257 / 25419

GCD(687, 111) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 79

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

LCM(3, 79) = 237

GCD(3, 79) = ( 3 x 79 ) / 237

GCD(3, 79) = 237 / 237

GCD(3, 79) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 687, 111, 79, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 687, 111, 79, 989

1. What is the GCD of 687, 111, 79, 989?

GCD of 687, 111, 79, 989 is 1


2. Where do I get the detailed procedure to find GCD of 687, 111, 79, 989?

You can find a detailed procedure to find GCD of 687, 111, 79, 989 on our page.


3. How to find GCD of 687, 111, 79, 989 on a calculator?

You can find the GCD of 687, 111, 79, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.