GCD of 998, 331, 45, 827 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 998, 331, 45, 827 quickly. Get the easiest ways to solve the greatest common divisor of 998, 331, 45, 827 i.e 1 in different methods as follows.
Given Input numbers are 998, 331, 45, 827
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 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
GCD of numbers is the greatest common divisor
So, the GCD (998, 331, 45, 827) = 1.
Given numbers are 998, 331, 45, 827
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 331 are 331
Prime factors of 45 are 3 x 3 x 5
Prime factors of 827 are 827
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 998, 331, 45, 827 using LCM Formula
Given numbers are 998, 331, 45, 827
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 331) = 330338
GCD(998, 331) = ( 998 x 331 ) / 330338
= 998 / 331
= 998
Step2:
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
= 1 / 45
= 1
Step3:
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
= 1 / 827
= 1
So, Greatest Common Divisor of 998, 331, 45, 827 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 998, 331, 45, 827
Given numbers are 998, 331, 45, 827
The greatest common divisor of numbers 998, 331, 45, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 331, 45, 827 is 1.
FAQs on GCD of 998, 331, 45, 827 Calculator
1. What is the GCD of 998, 331, 45, 827?
GCD of given numbers 998, 331, 45, 827 is 1
2. How to calculate the greatest common divisor of 998, 331, 45, 827?
We can find the highest common divisor of 998, 331, 45, 827 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, 331, 45, 827 i.e 1.
3. How can I use the GCD of 998, 331, 45, 827Calculator?
Out the numbers 998, 331, 45, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.