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GCD of 518, 366, 390, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 518, 366, 390, 438 quickly. Get the easiest ways to solve the greatest common divisor of 518, 366, 390, 438 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 518, 366, 390, 438 with Factoring?

Given Input numbers are 518, 366, 390, 438

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 438 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (518, 366, 390, 438) = 2.

Find GCD of 518, 366, 390, 438 using Prime Factorization

Given numbers are 518, 366, 390, 438

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 366 are 2 x 3 x 61

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 21

Therefore, GCD of 518, 366, 390, 438 is 2.

Steps to Calculate GCD of 518, 366, 390, 438 using LCM Formula

Given numbers are 518, 366, 390, 438

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

Apply this formula for all numbers.

Step1:

LCM(518, 366) = 94794

GCD(518, 366) = ( 518 x 366 ) / 94794

= 518 / 366

= 518


Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2


Step3:

LCM(2, 438) = 438

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

= 2 / 438

= 2


So, Greatest Common Divisor of 518, 366, 390, 438 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 518, 366, 390, 438

Given numbers are 518, 366, 390, 438
The greatest common divisor of numbers 518, 366, 390, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 366, 390, 438 is 2.

FAQs on GCD of 518, 366, 390, 438 Calculator

1. What is the GCD of 518, 366, 390, 438?

GCD of given numbers 518, 366, 390, 438 is 2


2. How to calculate the greatest common divisor of 518, 366, 390, 438?

We can find the highest common divisor of 518, 366, 390, 438 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 518, 366, 390, 438 i.e 2.


3. How can I use the GCD of 518, 366, 390, 438Calculator?

Out the numbers 518, 366, 390, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.