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 397, 998, 378, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 998, 378, 898 is 1
GCD(397, 998, 378, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 998, 378, 898 is 1
GCD(397, 998, 378, 898) = 1
Given Input numbers are 397, 998, 378, 898
To find the GCD of numbers using factoring list out all the divisors of each number
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 397, 998, 378, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 998, 378, 898 is 1.
Therefore, GCD of numbers 397, 998, 378, 898 is 1
Given Input Data is 397, 998, 378, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 998 is 2 x 499
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 898 is 2 x 449
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(397, 998) = 396206
GCD(397, 998) = ( 397 x 998 ) / 396206
GCD(397, 998) = 396206 / 396206
GCD(397, 998) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
GCD of 397, 998, 378, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 998, 378, 898?
GCD of 397, 998, 378, 898 is 1
2. Where do I get the detailed procedure to find GCD of 397, 998, 378, 898?
You can find a detailed procedure to find GCD of 397, 998, 378, 898 on our page.
3. How to find GCD of 397, 998, 378, 898 on a calculator?
You can find the GCD of 397, 998, 378, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.