GCD of 768, 966, 321 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 768, 966, 321 quickly. Get the easiest ways to solve the greatest common divisor of 768, 966, 321 i.e 3 in different methods as follows.
Given Input numbers are 768, 966, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (768, 966, 321) = 3.
Given numbers are 768, 966, 321
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 768, 966, 321 is 3.
Steps to Calculate GCD of 768, 966, 321 using LCM Formula
Given numbers are 768, 966, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 966) = 123648
GCD(768, 966) = ( 768 x 966 ) / 123648
= 768 / 966
= 768
Step2:
LCM(6, 321) = 642
GCD(6, 321) = ( 6 x 321 ) / 642
= 6 / 321
= 6
So, Greatest Common Divisor of 768, 966, 321 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 768, 966, 321
Given numbers are 768, 966, 321
The greatest common divisor of numbers 768, 966, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 966, 321 is 3.
FAQs on GCD of 768, 966, 321 Calculator
1. What is the GCD of 768, 966, 321?
GCD of given numbers 768, 966, 321 is 3
2. How to calculate the greatest common divisor of 768, 966, 321?
We can find the highest common divisor of 768, 966, 321 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 768, 966, 321 i.e 3.
3. How can I use the GCD of 768, 966, 321Calculator?
Out the numbers 768, 966, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.