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GCD of 318, 894, 486, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 318, 894, 486, 423 quickly. Get the easiest ways to solve the greatest common divisor of 318, 894, 486, 423 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 318, 894, 486, 423 with Factoring?

Given Input numbers are 318, 894, 486, 423

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (318, 894, 486, 423) = 3.

Find GCD of 318, 894, 486, 423 using Prime Factorization

Given numbers are 318, 894, 486, 423

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 894 are 2 x 3 x 149

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 31

Therefore, GCD of 318, 894, 486, 423 is 3.

Steps to Calculate GCD of 318, 894, 486, 423 using LCM Formula

Given numbers are 318, 894, 486, 423

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

Apply this formula for all numbers.

Step1:

LCM(318, 894) = 47382

GCD(318, 894) = ( 318 x 894 ) / 47382

= 318 / 894

= 318


Step2:

LCM(6, 486) = 486

GCD(6, 486) = ( 6 x 486 ) / 486

= 6 / 486

= 6


Step3:

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

= 6 / 423

= 6


So, Greatest Common Divisor of 318, 894, 486, 423 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 318, 894, 486, 423

Given numbers are 318, 894, 486, 423
The greatest common divisor of numbers 318, 894, 486, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 894, 486, 423 is 3.

FAQs on GCD of 318, 894, 486, 423 Calculator

1. What is the GCD of 318, 894, 486, 423?

GCD of given numbers 318, 894, 486, 423 is 3


2. How to calculate the greatest common divisor of 318, 894, 486, 423?

We can find the highest common divisor of 318, 894, 486, 423 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 318, 894, 486, 423 i.e 3.


3. How can I use the GCD of 318, 894, 486, 423Calculator?

Out the numbers 318, 894, 486, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.