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GCD of 558, 864, 210, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 558, 864, 210, 336 quickly. Get the easiest ways to solve the greatest common divisor of 558, 864, 210, 336 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 558, 864, 210, 336 with Factoring?

Given Input numbers are 558, 864, 210, 336

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (558, 864, 210, 336) = 6.

Find GCD of 558, 864, 210, 336 using Prime Factorization

Given numbers are 558, 864, 210, 336

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21 x 31

Therefore, GCD of 558, 864, 210, 336 is 6.

Steps to Calculate GCD of 558, 864, 210, 336 using LCM Formula

Given numbers are 558, 864, 210, 336

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

Apply this formula for all numbers.

Step1:

LCM(558, 864) = 26784

GCD(558, 864) = ( 558 x 864 ) / 26784

= 558 / 864

= 558


Step2:

LCM(18, 210) = 630

GCD(18, 210) = ( 18 x 210 ) / 630

= 18 / 210

= 18


Step3:

LCM(6, 336) = 336

GCD(6, 336) = ( 6 x 336 ) / 336

= 6 / 336

= 6


So, Greatest Common Divisor of 558, 864, 210, 336 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 558, 864, 210, 336

Given numbers are 558, 864, 210, 336
The greatest common divisor of numbers 558, 864, 210, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 864, 210, 336 is 6.

FAQs on GCD of 558, 864, 210, 336 Calculator

1. What is the GCD of 558, 864, 210, 336?

GCD of given numbers 558, 864, 210, 336 is 6


2. How to calculate the greatest common divisor of 558, 864, 210, 336?

We can find the highest common divisor of 558, 864, 210, 336 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 558, 864, 210, 336 i.e 6.


3. How can I use the GCD of 558, 864, 210, 336Calculator?

Out the numbers 558, 864, 210, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.