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, 712, 39, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 712, 39, 337 is 1
GCD(687, 712, 39, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 712, 39, 337 is 1
GCD(687, 712, 39, 337) = 1
Given Input numbers are 687, 712, 39, 337
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 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 687, 712, 39, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 712, 39, 337 is 1.
Therefore, GCD of numbers 687, 712, 39, 337 is 1
Given Input Data is 687, 712, 39, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 39 is 3 x 13
Prime Factorization of 337 is 337
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, 712) = 489144
GCD(687, 712) = ( 687 x 712 ) / 489144
GCD(687, 712) = 489144 / 489144
GCD(687, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 687, 712, 39, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 712, 39, 337?
GCD of 687, 712, 39, 337 is 1
2. Where do I get the detailed procedure to find GCD of 687, 712, 39, 337?
You can find a detailed procedure to find GCD of 687, 712, 39, 337 on our page.
3. How to find GCD of 687, 712, 39, 337 on a calculator?
You can find the GCD of 687, 712, 39, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.