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, 902, 802, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 839, 902, 802, 917 is 1
GCD(839, 902, 802, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 839, 902, 802, 917 is 1
GCD(839, 902, 802, 917) = 1
Given Input numbers are 839, 902, 802, 917
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 839, 902, 802, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 902, 802, 917 is 1.
Therefore, GCD of numbers 839, 902, 802, 917 is 1
Given Input Data is 839, 902, 802, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 839 is 839
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 802 is 2 x 401
Prime Factorization of 917 is 7 x 131
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, 902) = 756778
GCD(839, 902) = ( 839 x 902 ) / 756778
GCD(839, 902) = 756778 / 756778
GCD(839, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 839, 902, 802, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 839, 902, 802, 917?
GCD of 839, 902, 802, 917 is 1
2. Where do I get the detailed procedure to find GCD of 839, 902, 802, 917?
You can find a detailed procedure to find GCD of 839, 902, 802, 917 on our page.
3. How to find GCD of 839, 902, 802, 917 on a calculator?
You can find the GCD of 839, 902, 802, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.