GCD of 318, 123, 966 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 318, 123, 966 quickly. Get the easiest ways to solve the greatest common divisor of 318, 123, 966 i.e 3 in different methods as follows.
Given Input numbers are 318, 123, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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
GCD of numbers is the greatest common divisor
So, the GCD (318, 123, 966) = 3.
Given numbers are 318, 123, 966
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 123 are 3 x 41
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 318, 123, 966 is 3.
Steps to Calculate GCD of 318, 123, 966 using LCM Formula
Given numbers are 318, 123, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 123) = 13038
GCD(318, 123) = ( 318 x 123 ) / 13038
= 318 / 123
= 318
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 318, 123, 966 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 318, 123, 966
Given numbers are 318, 123, 966
The greatest common divisor of numbers 318, 123, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 123, 966 is 3.
FAQs on GCD of 318, 123, 966 Calculator
1. What is the GCD of 318, 123, 966?
GCD of given numbers 318, 123, 966 is 3
2. How to calculate the greatest common divisor of 318, 123, 966?
We can find the highest common divisor of 318, 123, 966 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 318, 123, 966 i.e 3.
3. How can I use the GCD of 318, 123, 966Calculator?
Out the numbers 318, 123, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.