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, 798, 979, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 798, 979, 113 is 1
GCD(39, 798, 979, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 798, 979, 113 is 1
GCD(39, 798, 979, 113) = 1
Given Input numbers are 39, 798, 979, 113
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 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 39, 798, 979, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 798, 979, 113 is 1.
Therefore, GCD of numbers 39, 798, 979, 113 is 1
Given Input Data is 39, 798, 979, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 979 is 11 x 89
Prime Factorization of 113 is 113
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, 798) = 10374
GCD(39, 798) = ( 39 x 798 ) / 10374
GCD(39, 798) = 31122 / 10374
GCD(39, 798) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 979) = 2937
GCD(3, 979) = ( 3 x 979 ) / 2937
GCD(3, 979) = 2937 / 2937
GCD(3, 979) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 39, 798, 979, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 798, 979, 113?
GCD of 39, 798, 979, 113 is 1
2. Where do I get the detailed procedure to find GCD of 39, 798, 979, 113?
You can find a detailed procedure to find GCD of 39, 798, 979, 113 on our page.
3. How to find GCD of 39, 798, 979, 113 on a calculator?
You can find the GCD of 39, 798, 979, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.