GCD of 966, 466, 108 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 966, 466, 108 quickly. Get the easiest ways to solve the greatest common divisor of 966, 466, 108 i.e 2 in different methods as follows.
Given Input numbers are 966, 466, 108
In the factoring method, we have to find the divisors of all numbers
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 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (966, 466, 108) = 2.
Given numbers are 966, 466, 108
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 466 are 2 x 233
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 966, 466, 108 is 2.
Steps to Calculate GCD of 966, 466, 108 using LCM Formula
Given numbers are 966, 466, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 466) = 225078
GCD(966, 466) = ( 966 x 466 ) / 225078
= 966 / 466
= 966
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
So, Greatest Common Divisor of 966, 466, 108 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 966, 466, 108
Given numbers are 966, 466, 108
The greatest common divisor of numbers 966, 466, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 466, 108 is 2.
FAQs on GCD of 966, 466, 108 Calculator
1. What is the GCD of 966, 466, 108?
GCD of given numbers 966, 466, 108 is 2
2. How to calculate the greatest common divisor of 966, 466, 108?
We can find the highest common divisor of 966, 466, 108 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 966, 466, 108 i.e 2.
3. How can I use the GCD of 966, 466, 108Calculator?
Out the numbers 966, 466, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.