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 850, 796, 903, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 796, 903, 180 is 1
GCD(850, 796, 903, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 796, 903, 180 is 1
GCD(850, 796, 903, 180) = 1
Given Input numbers are 850, 796, 903, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 850, 796, 903, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 796, 903, 180 is 1.
Therefore, GCD of numbers 850, 796, 903, 180 is 1
Given Input Data is 850, 796, 903, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(850, 796) = 338300
GCD(850, 796) = ( 850 x 796 ) / 338300
GCD(850, 796) = 676600 / 338300
GCD(850, 796) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 903) = 1806
GCD(2, 903) = ( 2 x 903 ) / 1806
GCD(2, 903) = 1806 / 1806
GCD(2, 903) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 850, 796, 903, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 796, 903, 180?
GCD of 850, 796, 903, 180 is 1
2. Where do I get the detailed procedure to find GCD of 850, 796, 903, 180?
You can find a detailed procedure to find GCD of 850, 796, 903, 180 on our page.
3. How to find GCD of 850, 796, 903, 180 on a calculator?
You can find the GCD of 850, 796, 903, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.