GCD of 999, 684, 706 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 999, 684, 706 quickly. Get the easiest ways to solve the greatest common divisor of 999, 684, 706 i.e 1 in different methods as follows.
Given Input numbers are 999, 684, 706
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (999, 684, 706) = 1.
Given numbers are 999, 684, 706
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 706 are 2 x 353
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 999, 684, 706 using LCM Formula
Given numbers are 999, 684, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 684) = 75924
GCD(999, 684) = ( 999 x 684 ) / 75924
= 999 / 684
= 999
Step2:
LCM(9, 706) = 6354
GCD(9, 706) = ( 9 x 706 ) / 6354
= 9 / 706
= 9
So, Greatest Common Divisor of 999, 684, 706 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 999, 684, 706
Given numbers are 999, 684, 706
The greatest common divisor of numbers 999, 684, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 684, 706 is 1.
FAQs on GCD of 999, 684, 706 Calculator
1. What is the GCD of 999, 684, 706?
GCD of given numbers 999, 684, 706 is 1
2. How to calculate the greatest common divisor of 999, 684, 706?
We can find the highest common divisor of 999, 684, 706 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, 684, 706 i.e 1.
3. How can I use the GCD of 999, 684, 706Calculator?
Out the numbers 999, 684, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.