GCD of 309, 756, 966 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 309, 756, 966 quickly. Get the easiest ways to solve the greatest common divisor of 309, 756, 966 i.e 3 in different methods as follows.
Given Input numbers are 309, 756, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 (309, 756, 966) = 3.
Given numbers are 309, 756, 966
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 309, 756, 966 is 3.
Steps to Calculate GCD of 309, 756, 966 using LCM Formula
Given numbers are 309, 756, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 756) = 77868
GCD(309, 756) = ( 309 x 756 ) / 77868
= 309 / 756
= 309
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 309, 756, 966 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 309, 756, 966
Given numbers are 309, 756, 966
The greatest common divisor of numbers 309, 756, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 756, 966 is 3.
FAQs on GCD of 309, 756, 966 Calculator
1. What is the GCD of 309, 756, 966?
GCD of given numbers 309, 756, 966 is 3
2. How to calculate the greatest common divisor of 309, 756, 966?
We can find the highest common divisor of 309, 756, 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 309, 756, 966 i.e 3.
3. How can I use the GCD of 309, 756, 966Calculator?
Out the numbers 309, 756, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.