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GCD of 600, 558, 168 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 558, 168 quickly. Get the easiest ways to solve the greatest common divisor of 600, 558, 168 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 558, 168 with Factoring?

Given Input numbers are 600, 558, 168

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 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


GCD of numbers is the greatest common divisor

So, the GCD (600, 558, 168) = 6.

Find GCD of 600, 558, 168 using Prime Factorization

Given numbers are 600, 558, 168

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

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

The highest common occurrence is 21 x 31

Therefore, GCD of 600, 558, 168 is 6.

Steps to Calculate GCD of 600, 558, 168 using LCM Formula

Given numbers are 600, 558, 168

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

Apply this formula for all numbers.

Step1:

LCM(600, 558) = 55800

GCD(600, 558) = ( 600 x 558 ) / 55800

= 600 / 558

= 600


Step2:

LCM(6, 168) = 168

GCD(6, 168) = ( 6 x 168 ) / 168

= 6 / 168

= 6


So, Greatest Common Divisor of 600, 558, 168 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 558, 168

Given numbers are 600, 558, 168
The greatest common divisor of numbers 600, 558, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 558, 168 is 6.

FAQs on GCD of 600, 558, 168 Calculator

1. What is the GCD of 600, 558, 168?

GCD of given numbers 600, 558, 168 is 6


2. How to calculate the greatest common divisor of 600, 558, 168?

We can find the highest common divisor of 600, 558, 168 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 600, 558, 168 i.e 6.


3. How can I use the GCD of 600, 558, 168Calculator?

Out the numbers 600, 558, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.