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, 670, 729, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 670, 729, 238 is 1
GCD(687, 670, 729, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 670, 729, 238 is 1
GCD(687, 670, 729, 238) = 1
Given Input numbers are 687, 670, 729, 238
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 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 687, 670, 729, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 670, 729, 238 is 1.
Therefore, GCD of numbers 687, 670, 729, 238 is 1
Given Input Data is 687, 670, 729, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 238 is 2 x 7 x 17
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, 670) = 460290
GCD(687, 670) = ( 687 x 670 ) / 460290
GCD(687, 670) = 460290 / 460290
GCD(687, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 687, 670, 729, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 670, 729, 238?
GCD of 687, 670, 729, 238 is 1
2. Where do I get the detailed procedure to find GCD of 687, 670, 729, 238?
You can find a detailed procedure to find GCD of 687, 670, 729, 238 on our page.
3. How to find GCD of 687, 670, 729, 238 on a calculator?
You can find the GCD of 687, 670, 729, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.