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GCD of 954, 639, 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 954, 639, 216 quickly. Get the easiest ways to solve the greatest common divisor of 954, 639, 216 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 954, 639, 216 with Factoring?

Given Input numbers are 954, 639, 216

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

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 (954, 639, 216) = 9.

Find GCD of 954, 639, 216 using Prime Factorization

Given numbers are 954, 639, 216

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 639 are 3 x 3 x 71

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

The highest common occurrence is 32

Therefore, GCD of 954, 639, 216 is 9.

Steps to Calculate GCD of 954, 639, 216 using LCM Formula

Given numbers are 954, 639, 216

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

Apply this formula for all numbers.

Step1:

LCM(954, 639) = 67734

GCD(954, 639) = ( 954 x 639 ) / 67734

= 954 / 639

= 954


Step2:

LCM(9, 216) = 216

GCD(9, 216) = ( 9 x 216 ) / 216

= 9 / 216

= 9


So, Greatest Common Divisor of 954, 639, 216 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 954, 639, 216

Given numbers are 954, 639, 216
The greatest common divisor of numbers 954, 639, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 639, 216 is 9.

FAQs on GCD of 954, 639, 216 Calculator

1. What is the GCD of 954, 639, 216?

GCD of given numbers 954, 639, 216 is 9


2. How to calculate the greatest common divisor of 954, 639, 216?

We can find the highest common divisor of 954, 639, 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 954, 639, 216 i.e 9.


3. How can I use the GCD of 954, 639, 216Calculator?

Out the numbers 954, 639, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.