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 786, 839, 799, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 839, 799, 338 is 1
GCD(786, 839, 799, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 839, 799, 338 is 1
GCD(786, 839, 799, 338) = 1
Given Input numbers are 786, 839, 799, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 786, 839, 799, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 839, 799, 338 is 1.
Therefore, GCD of numbers 786, 839, 799, 338 is 1
Given Input Data is 786, 839, 799, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 839 is 839
Prime Factorization of 799 is 17 x 47
Prime Factorization of 338 is 2 x 13 x 13
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(786, 839) = 659454
GCD(786, 839) = ( 786 x 839 ) / 659454
GCD(786, 839) = 659454 / 659454
GCD(786, 839) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 786, 839, 799, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 839, 799, 338?
GCD of 786, 839, 799, 338 is 1
2. Where do I get the detailed procedure to find GCD of 786, 839, 799, 338?
You can find a detailed procedure to find GCD of 786, 839, 799, 338 on our page.
3. How to find GCD of 786, 839, 799, 338 on a calculator?
You can find the GCD of 786, 839, 799, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.