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 112, 730, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 730, 839 is 1
GCD(112, 730, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 730, 839 is 1
GCD(112, 730, 839) = 1
Given Input numbers are 112, 730, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 112, 730, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 730, 839 is 1.
Therefore, GCD of numbers 112, 730, 839 is 1
Given Input Data is 112, 730, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 839 is 839
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(112, 730) = 40880
GCD(112, 730) = ( 112 x 730 ) / 40880
GCD(112, 730) = 81760 / 40880
GCD(112, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 839) = 1678
GCD(2, 839) = ( 2 x 839 ) / 1678
GCD(2, 839) = 1678 / 1678
GCD(2, 839) = 1
GCD of 112, 730, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 730, 839?
GCD of 112, 730, 839 is 1
2. Where do I get the detailed procedure to find GCD of 112, 730, 839?
You can find a detailed procedure to find GCD of 112, 730, 839 on our page.
3. How to find GCD of 112, 730, 839 on a calculator?
You can find the GCD of 112, 730, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.