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 998, 371, 389, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 371, 389, 144 is 1
GCD(998, 371, 389, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 371, 389, 144 is 1
GCD(998, 371, 389, 144) = 1
Given Input numbers are 998, 371, 389, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 998, 371, 389, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 371, 389, 144 is 1.
Therefore, GCD of numbers 998, 371, 389, 144 is 1
Given Input Data is 998, 371, 389, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 371 is 7 x 53
Prime Factorization of 389 is 389
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(998, 371) = 370258
GCD(998, 371) = ( 998 x 371 ) / 370258
GCD(998, 371) = 370258 / 370258
GCD(998, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 998, 371, 389, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 371, 389, 144?
GCD of 998, 371, 389, 144 is 1
2. Where do I get the detailed procedure to find GCD of 998, 371, 389, 144?
You can find a detailed procedure to find GCD of 998, 371, 389, 144 on our page.
3. How to find GCD of 998, 371, 389, 144 on a calculator?
You can find the GCD of 998, 371, 389, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.