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 923, 397, 998, 418 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 397, 998, 418 is 1
GCD(923, 397, 998, 418) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 397, 998, 418 is 1
GCD(923, 397, 998, 418) = 1
Given Input numbers are 923, 397, 998, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 923, 397, 998, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 397, 998, 418 is 1.
Therefore, GCD of numbers 923, 397, 998, 418 is 1
Given Input Data is 923, 397, 998, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 397 is 397
Prime Factorization of 998 is 2 x 499
Prime Factorization of 418 is 2 x 11 x 19
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(923, 397) = 366431
GCD(923, 397) = ( 923 x 397 ) / 366431
GCD(923, 397) = 366431 / 366431
GCD(923, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
GCD of 923, 397, 998, 418 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 397, 998, 418?
GCD of 923, 397, 998, 418 is 1
2. Where do I get the detailed procedure to find GCD of 923, 397, 998, 418?
You can find a detailed procedure to find GCD of 923, 397, 998, 418 on our page.
3. How to find GCD of 923, 397, 998, 418 on a calculator?
You can find the GCD of 923, 397, 998, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.