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GCD of 518, 168, 460, 660 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, 168, 460, 660 quickly. Get the easiest ways to solve the greatest common divisor of 518, 168, 460, 660 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 518, 168, 460, 660 with Factoring?

Given Input numbers are 518, 168, 460, 660

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (518, 168, 460, 660) = 2.

Find GCD of 518, 168, 460, 660 using Prime Factorization

Given numbers are 518, 168, 460, 660

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 518, 168, 460, 660 is 2.

Steps to Calculate GCD of 518, 168, 460, 660 using LCM Formula

Given numbers are 518, 168, 460, 660

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

Apply this formula for all numbers.

Step1:

LCM(518, 168) = 6216

GCD(518, 168) = ( 518 x 168 ) / 6216

= 518 / 168

= 518


Step2:

LCM(14, 460) = 3220

GCD(14, 460) = ( 14 x 460 ) / 3220

= 14 / 460

= 14


Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2


So, Greatest Common Divisor of 518, 168, 460, 660 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 518, 168, 460, 660

Given numbers are 518, 168, 460, 660
The greatest common divisor of numbers 518, 168, 460, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 168, 460, 660 is 2.

FAQs on GCD of 518, 168, 460, 660 Calculator

1. What is the GCD of 518, 168, 460, 660?

GCD of given numbers 518, 168, 460, 660 is 2


2. How to calculate the greatest common divisor of 518, 168, 460, 660?

We can find the highest common divisor of 518, 168, 460, 660 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, 168, 460, 660 i.e 2.


3. How can I use the GCD of 518, 168, 460, 660Calculator?

Out the numbers 518, 168, 460, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.