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GCD of 594, 828, 498 Calculator

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


Online GCD Calculator is useful to find the GCD of 594, 828, 498 quickly. Get the easiest ways to solve the greatest common divisor of 594, 828, 498 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 594, 828, 498 with Factoring?

Given Input numbers are 594, 828, 498

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498


GCD of numbers is the greatest common divisor

So, the GCD (594, 828, 498) = 6.

Find GCD of 594, 828, 498 using Prime Factorization

Given numbers are 594, 828, 498

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 21 x 31

Therefore, GCD of 594, 828, 498 is 6.

Steps to Calculate GCD of 594, 828, 498 using LCM Formula

Given numbers are 594, 828, 498

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

Apply this formula for all numbers.

Step1:

LCM(594, 828) = 27324

GCD(594, 828) = ( 594 x 828 ) / 27324

= 594 / 828

= 594


Step2:

LCM(18, 498) = 1494

GCD(18, 498) = ( 18 x 498 ) / 1494

= 18 / 498

= 18


So, Greatest Common Divisor of 594, 828, 498 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 594, 828, 498

Given numbers are 594, 828, 498
The greatest common divisor of numbers 594, 828, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 828, 498 is 6.

FAQs on GCD of 594, 828, 498 Calculator

1. What is the GCD of 594, 828, 498?

GCD of given numbers 594, 828, 498 is 6


2. How to calculate the greatest common divisor of 594, 828, 498?

We can find the highest common divisor of 594, 828, 498 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 594, 828, 498 i.e 6.


3. How can I use the GCD of 594, 828, 498Calculator?

Out the numbers 594, 828, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.