GCD of 999, 971, 842 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 999, 971, 842 quickly. Get the easiest ways to solve the greatest common divisor of 999, 971, 842 i.e 1 in different methods as follows.
Given Input numbers are 999, 971, 842
In the factoring method, we have to find the divisors of all numbers
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (999, 971, 842) = 1.
Given numbers are 999, 971, 842
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 971 are 971
Prime factors of 842 are 2 x 421
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 999, 971, 842 using LCM Formula
Given numbers are 999, 971, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 971) = 970029
GCD(999, 971) = ( 999 x 971 ) / 970029
= 999 / 971
= 999
Step2:
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
= 1 / 842
= 1
So, Greatest Common Divisor of 999, 971, 842 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 999, 971, 842
Given numbers are 999, 971, 842
The greatest common divisor of numbers 999, 971, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 971, 842 is 1.
FAQs on GCD of 999, 971, 842 Calculator
1. What is the GCD of 999, 971, 842?
GCD of given numbers 999, 971, 842 is 1
2. How to calculate the greatest common divisor of 999, 971, 842?
We can find the highest common divisor of 999, 971, 842 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 999, 971, 842 i.e 1.
3. How can I use the GCD of 999, 971, 842Calculator?
Out the numbers 999, 971, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.