GCD of 966, 518, 336 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 966, 518, 336 quickly. Get the easiest ways to solve the greatest common divisor of 966, 518, 336 i.e 14 in different methods as follows.
Given Input numbers are 966, 518, 336
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 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (966, 518, 336) = 14.
Given numbers are 966, 518, 336
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 518 are 2 x 7 x 37
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 966, 518, 336 is 14.
Steps to Calculate GCD of 966, 518, 336 using LCM Formula
Given numbers are 966, 518, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 518) = 35742
GCD(966, 518) = ( 966 x 518 ) / 35742
= 966 / 518
= 966
Step2:
LCM(14, 336) = 336
GCD(14, 336) = ( 14 x 336 ) / 336
= 14 / 336
= 14
So, Greatest Common Divisor of 966, 518, 336 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 966, 518, 336
Given numbers are 966, 518, 336
The greatest common divisor of numbers 966, 518, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 518, 336 is 14.
FAQs on GCD of 966, 518, 336 Calculator
1. What is the GCD of 966, 518, 336?
GCD of given numbers 966, 518, 336 is 14
2. How to calculate the greatest common divisor of 966, 518, 336?
We can find the highest common divisor of 966, 518, 336 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, 518, 336 i.e 14.
3. How can I use the GCD of 966, 518, 336Calculator?
Out the numbers 966, 518, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.