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GCD of 351, 351, 684, 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 351, 351, 684, 216 quickly. Get the easiest ways to solve the greatest common divisor of 351, 351, 684, 216 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 351, 351, 684, 216 with Factoring?

Given Input numbers are 351, 351, 684, 216

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 (351, 351, 684, 216) = 9.

Find GCD of 351, 351, 684, 216 using Prime Factorization

Given numbers are 351, 351, 684, 216

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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 351, 351, 684, 216 is 9.

Steps to Calculate GCD of 351, 351, 684, 216 using LCM Formula

Given numbers are 351, 351, 684, 216

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

Apply this formula for all numbers.

Step1:

LCM(351, 351) = 351

GCD(351, 351) = ( 351 x 351 ) / 351

= 351 / 351

= 351


Step2:

LCM(351, 684) = 26676

GCD(351, 684) = ( 351 x 684 ) / 26676

= 351 / 684

= 351


Step3:

LCM(9, 216) = 216

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

= 9 / 216

= 9


So, Greatest Common Divisor of 351, 351, 684, 216 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 351, 351, 684, 216

Given numbers are 351, 351, 684, 216
The greatest common divisor of numbers 351, 351, 684, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 351, 684, 216 is 9.

FAQs on GCD of 351, 351, 684, 216 Calculator

1. What is the GCD of 351, 351, 684, 216?

GCD of given numbers 351, 351, 684, 216 is 9


2. How to calculate the greatest common divisor of 351, 351, 684, 216?

We can find the highest common divisor of 351, 351, 684, 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 351, 351, 684, 216 i.e 9.


3. How can I use the GCD of 351, 351, 684, 216Calculator?

Out the numbers 351, 351, 684, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.