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GCD of 382, 894, 438, 418 Calculator

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


Online GCD Calculator is useful to find the GCD of 382, 894, 438, 418 quickly. Get the easiest ways to solve the greatest common divisor of 382, 894, 438, 418 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 894, 438, 418 with Factoring?

Given Input numbers are 382, 894, 438, 418

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 894 :

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

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418


GCD of numbers is the greatest common divisor

So, the GCD (382, 894, 438, 418) = 2.

Find GCD of 382, 894, 438, 418 using Prime Factorization

Given numbers are 382, 894, 438, 418

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 894 are 2 x 3 x 149

Prime factors of 438 are 2 x 3 x 73

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 21

Therefore, GCD of 382, 894, 438, 418 is 2.

Steps to Calculate GCD of 382, 894, 438, 418 using LCM Formula

Given numbers are 382, 894, 438, 418

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

Apply this formula for all numbers.

Step1:

LCM(382, 894) = 170754

GCD(382, 894) = ( 382 x 894 ) / 170754

= 382 / 894

= 382


Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2


Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2


So, Greatest Common Divisor of 382, 894, 438, 418 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 894, 438, 418

Given numbers are 382, 894, 438, 418
The greatest common divisor of numbers 382, 894, 438, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 894, 438, 418 is 2.

FAQs on GCD of 382, 894, 438, 418 Calculator

1. What is the GCD of 382, 894, 438, 418?

GCD of given numbers 382, 894, 438, 418 is 2


2. How to calculate the greatest common divisor of 382, 894, 438, 418?

We can find the highest common divisor of 382, 894, 438, 418 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 382, 894, 438, 418 i.e 2.


3. How can I use the GCD of 382, 894, 438, 418Calculator?

Out the numbers 382, 894, 438, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.