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, 686, 530, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 686, 530, 853 is 1
GCD(39, 686, 530, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 686, 530, 853 is 1
GCD(39, 686, 530, 853) = 1
Given Input numbers are 39, 686, 530, 853
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 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 39, 686, 530, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 686, 530, 853 is 1.
Therefore, GCD of numbers 39, 686, 530, 853 is 1
Given Input Data is 39, 686, 530, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 853 is 853
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, 686) = 26754
GCD(39, 686) = ( 39 x 686 ) / 26754
GCD(39, 686) = 26754 / 26754
GCD(39, 686) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 530) = 530
GCD(1, 530) = ( 1 x 530 ) / 530
GCD(1, 530) = 530 / 530
GCD(1, 530) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 39, 686, 530, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 686, 530, 853?
GCD of 39, 686, 530, 853 is 1
2. Where do I get the detailed procedure to find GCD of 39, 686, 530, 853?
You can find a detailed procedure to find GCD of 39, 686, 530, 853 on our page.
3. How to find GCD of 39, 686, 530, 853 on a calculator?
You can find the GCD of 39, 686, 530, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.