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GCD of 684, 207, 954, 393 Calculator

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


Online GCD Calculator is useful to find the GCD of 684, 207, 954, 393 quickly. Get the easiest ways to solve the greatest common divisor of 684, 207, 954, 393 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 207, 954, 393 with Factoring?

Given Input numbers are 684, 207, 954, 393

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

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 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (684, 207, 954, 393) = 3.

Find GCD of 684, 207, 954, 393 using Prime Factorization

Given numbers are 684, 207, 954, 393

The list of prime factors of all numbers are

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

Prime factors of 207 are 3 x 3 x 23

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

Prime factors of 393 are 3 x 131

The highest common occurrence is 31

Therefore, GCD of 684, 207, 954, 393 is 3.

Steps to Calculate GCD of 684, 207, 954, 393 using LCM Formula

Given numbers are 684, 207, 954, 393

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

Apply this formula for all numbers.

Step1:

LCM(684, 207) = 15732

GCD(684, 207) = ( 684 x 207 ) / 15732

= 684 / 207

= 684


Step2:

LCM(9, 954) = 954

GCD(9, 954) = ( 9 x 954 ) / 954

= 9 / 954

= 9


Step3:

LCM(9, 393) = 1179

GCD(9, 393) = ( 9 x 393 ) / 1179

= 9 / 393

= 9


So, Greatest Common Divisor of 684, 207, 954, 393 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 207, 954, 393

Given numbers are 684, 207, 954, 393
The greatest common divisor of numbers 684, 207, 954, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 207, 954, 393 is 3.

FAQs on GCD of 684, 207, 954, 393 Calculator

1. What is the GCD of 684, 207, 954, 393?

GCD of given numbers 684, 207, 954, 393 is 3


2. How to calculate the greatest common divisor of 684, 207, 954, 393?

We can find the highest common divisor of 684, 207, 954, 393 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 684, 207, 954, 393 i.e 3.


3. How can I use the GCD of 684, 207, 954, 393Calculator?

Out the numbers 684, 207, 954, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.