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 918, 367, 806, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 367, 806, 491 is 1
GCD(918, 367, 806, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 367, 806, 491 is 1
GCD(918, 367, 806, 491) = 1
Given Input numbers are 918, 367, 806, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 918, 367, 806, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 367, 806, 491 is 1.
Therefore, GCD of numbers 918, 367, 806, 491 is 1
Given Input Data is 918, 367, 806, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 367 is 367
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 491 is 491
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(918, 367) = 336906
GCD(918, 367) = ( 918 x 367 ) / 336906
GCD(918, 367) = 336906 / 336906
GCD(918, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 806) = 806
GCD(1, 806) = ( 1 x 806 ) / 806
GCD(1, 806) = 806 / 806
GCD(1, 806) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 918, 367, 806, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 367, 806, 491?
GCD of 918, 367, 806, 491 is 1
2. Where do I get the detailed procedure to find GCD of 918, 367, 806, 491?
You can find a detailed procedure to find GCD of 918, 367, 806, 491 on our page.
3. How to find GCD of 918, 367, 806, 491 on a calculator?
You can find the GCD of 918, 367, 806, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.