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 numbers 687, 111, 79, 989 is 1
GCD(687, 111, 79, 989) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.