GCD of 998, 371, 111, 394 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 998, 371, 111, 394 quickly. Get the easiest ways to solve the greatest common divisor of 998, 371, 111, 394 i.e 1 in different methods as follows.
Given Input numbers are 998, 371, 111, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (998, 371, 111, 394) = 1.
Given numbers are 998, 371, 111, 394
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 371 are 7 x 53
Prime factors of 111 are 3 x 37
Prime factors of 394 are 2 x 197
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 998, 371, 111, 394 using LCM Formula
Given numbers are 998, 371, 111, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 371) = 370258
GCD(998, 371) = ( 998 x 371 ) / 370258
= 998 / 371
= 998
Step2:
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
= 1 / 111
= 1
Step3:
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
= 1 / 394
= 1
So, Greatest Common Divisor of 998, 371, 111, 394 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 998, 371, 111, 394
Given numbers are 998, 371, 111, 394
The greatest common divisor of numbers 998, 371, 111, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 371, 111, 394 is 1.
FAQs on GCD of 998, 371, 111, 394 Calculator
1. What is the GCD of 998, 371, 111, 394?
GCD of given numbers 998, 371, 111, 394 is 1
2. How to calculate the greatest common divisor of 998, 371, 111, 394?
We can find the highest common divisor of 998, 371, 111, 394 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 998, 371, 111, 394 i.e 1.
3. How can I use the GCD of 998, 371, 111, 394Calculator?
Out the numbers 998, 371, 111, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.