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 814, 457, 180, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 457, 180, 817 is 1
GCD(814, 457, 180, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 457, 180, 817 is 1
GCD(814, 457, 180, 817) = 1
Given Input numbers are 814, 457, 180, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
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
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 814, 457, 180, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 457, 180, 817 is 1.
Therefore, GCD of numbers 814, 457, 180, 817 is 1
Given Input Data is 814, 457, 180, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 457 is 457
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 817 is 19 x 43
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(814, 457) = 371998
GCD(814, 457) = ( 814 x 457 ) / 371998
GCD(814, 457) = 371998 / 371998
GCD(814, 457) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 814, 457, 180, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 457, 180, 817?
GCD of 814, 457, 180, 817 is 1
2. Where do I get the detailed procedure to find GCD of 814, 457, 180, 817?
You can find a detailed procedure to find GCD of 814, 457, 180, 817 on our page.
3. How to find GCD of 814, 457, 180, 817 on a calculator?
You can find the GCD of 814, 457, 180, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.