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 39, 712, 647, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 712, 647, 682 is 1
GCD(39, 712, 647, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 712, 647, 682 is 1
GCD(39, 712, 647, 682) = 1
Given Input numbers are 39, 712, 647, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 39, 712, 647, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 712, 647, 682 is 1.
Therefore, GCD of numbers 39, 712, 647, 682 is 1
Given Input Data is 39, 712, 647, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 647 is 647
Prime Factorization of 682 is 2 x 11 x 31
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(39, 712) = 27768
GCD(39, 712) = ( 39 x 712 ) / 27768
GCD(39, 712) = 27768 / 27768
GCD(39, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 39, 712, 647, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 712, 647, 682?
GCD of 39, 712, 647, 682 is 1
2. Where do I get the detailed procedure to find GCD of 39, 712, 647, 682?
You can find a detailed procedure to find GCD of 39, 712, 647, 682 on our page.
3. How to find GCD of 39, 712, 647, 682 on a calculator?
You can find the GCD of 39, 712, 647, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.