GCD of 216, 966, 171 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 966, 171 quickly. Get the easiest ways to solve the greatest common divisor of 216, 966, 171 i.e 3 in different methods as follows.
Given Input numbers are 216, 966, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (216, 966, 171) = 3.
Given numbers are 216, 966, 171
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 171 are 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 216, 966, 171 is 3.
Steps to Calculate GCD of 216, 966, 171 using LCM Formula
Given numbers are 216, 966, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 966) = 34776
GCD(216, 966) = ( 216 x 966 ) / 34776
= 216 / 966
= 216
Step2:
LCM(6, 171) = 342
GCD(6, 171) = ( 6 x 171 ) / 342
= 6 / 171
= 6
So, Greatest Common Divisor of 216, 966, 171 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 966, 171
Given numbers are 216, 966, 171
The greatest common divisor of numbers 216, 966, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 966, 171 is 3.
FAQs on GCD of 216, 966, 171 Calculator
1. What is the GCD of 216, 966, 171?
GCD of given numbers 216, 966, 171 is 3
2. How to calculate the greatest common divisor of 216, 966, 171?
We can find the highest common divisor of 216, 966, 171 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 216, 966, 171 i.e 3.
3. How can I use the GCD of 216, 966, 171Calculator?
Out the numbers 216, 966, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.