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GCD of 518, 238, 522 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, 238, 522 quickly. Get the easiest ways to solve the greatest common divisor of 518, 238, 522 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 518, 238, 522 with Factoring?

Given Input numbers are 518, 238, 522

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (518, 238, 522) = 2.

Find GCD of 518, 238, 522 using Prime Factorization

Given numbers are 518, 238, 522

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 238 are 2 x 7 x 17

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 518, 238, 522 is 2.

Steps to Calculate GCD of 518, 238, 522 using LCM Formula

Given numbers are 518, 238, 522

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

Apply this formula for all numbers.

Step1:

LCM(518, 238) = 8806

GCD(518, 238) = ( 518 x 238 ) / 8806

= 518 / 238

= 518


Step2:

LCM(14, 522) = 3654

GCD(14, 522) = ( 14 x 522 ) / 3654

= 14 / 522

= 14


So, Greatest Common Divisor of 518, 238, 522 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 518, 238, 522

Given numbers are 518, 238, 522
The greatest common divisor of numbers 518, 238, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 238, 522 is 2.

FAQs on GCD of 518, 238, 522 Calculator

1. What is the GCD of 518, 238, 522?

GCD of given numbers 518, 238, 522 is 2


2. How to calculate the greatest common divisor of 518, 238, 522?

We can find the highest common divisor of 518, 238, 522 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, 238, 522 i.e 2.


3. How can I use the GCD of 518, 238, 522Calculator?

Out the numbers 518, 238, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.