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GCD of 663, 960, 183, 216 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 663, 960, 183, 216 quickly. Get the easiest ways to solve the greatest common divisor of 663, 960, 183, 216 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 960, 183, 216 with Factoring?

Given Input numbers are 663, 960, 183, 216

In the factoring method, we have to find the divisors of all numbers

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216


GCD of numbers is the greatest common divisor

So, the GCD (663, 960, 183, 216) = 3.

Find GCD of 663, 960, 183, 216 using Prime Factorization

Given numbers are 663, 960, 183, 216

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 183 are 3 x 61

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 663, 960, 183, 216 is 3.

Steps to Calculate GCD of 663, 960, 183, 216 using LCM Formula

Given numbers are 663, 960, 183, 216

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(663, 960) = 212160

GCD(663, 960) = ( 663 x 960 ) / 212160

= 663 / 960

= 663


Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3


Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3


So, Greatest Common Divisor of 663, 960, 183, 216 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 960, 183, 216

Given numbers are 663, 960, 183, 216
The greatest common divisor of numbers 663, 960, 183, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 960, 183, 216 is 3.

FAQs on GCD of 663, 960, 183, 216 Calculator

1. What is the GCD of 663, 960, 183, 216?

GCD of given numbers 663, 960, 183, 216 is 3


2. How to calculate the greatest common divisor of 663, 960, 183, 216?

We can find the highest common divisor of 663, 960, 183, 216 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 663, 960, 183, 216 i.e 3.


3. How can I use the GCD of 663, 960, 183, 216Calculator?

Out the numbers 663, 960, 183, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.