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 839, 235, 705, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 839, 235, 705, 370 is 1
GCD(839, 235, 705, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 839, 235, 705, 370 is 1
GCD(839, 235, 705, 370) = 1
Given Input numbers are 839, 235, 705, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 839, 235, 705, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 235, 705, 370 is 1.
Therefore, GCD of numbers 839, 235, 705, 370 is 1
Given Input Data is 839, 235, 705, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 839 is 839
Prime Factorization of 235 is 5 x 47
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 370 is 2 x 5 x 37
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(839, 235) = 197165
GCD(839, 235) = ( 839 x 235 ) / 197165
GCD(839, 235) = 197165 / 197165
GCD(839, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 839, 235, 705, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 839, 235, 705, 370?
GCD of 839, 235, 705, 370 is 1
2. Where do I get the detailed procedure to find GCD of 839, 235, 705, 370?
You can find a detailed procedure to find GCD of 839, 235, 705, 370 on our page.
3. How to find GCD of 839, 235, 705, 370 on a calculator?
You can find the GCD of 839, 235, 705, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.