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, 269, 671, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 269, 671, 179 is 1
GCD(687, 269, 671, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 269, 671, 179 is 1
GCD(687, 269, 671, 179) = 1
Given Input numbers are 687, 269, 671, 179
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 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 687, 269, 671, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 269, 671, 179 is 1.
Therefore, GCD of numbers 687, 269, 671, 179 is 1
Given Input Data is 687, 269, 671, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 269 is 269
Prime Factorization of 671 is 11 x 61
Prime Factorization of 179 is 179
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, 269) = 184803
GCD(687, 269) = ( 687 x 269 ) / 184803
GCD(687, 269) = 184803 / 184803
GCD(687, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 687, 269, 671, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 269, 671, 179?
GCD of 687, 269, 671, 179 is 1
2. Where do I get the detailed procedure to find GCD of 687, 269, 671, 179?
You can find a detailed procedure to find GCD of 687, 269, 671, 179 on our page.
3. How to find GCD of 687, 269, 671, 179 on a calculator?
You can find the GCD of 687, 269, 671, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.