GCD of 204, 558, 585, 498 Calculator

Given Input numbers are 204, 558, 585, 498

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 (204, 558, 585, 498) = 3.

Given numbers are 204, 558, 585, 498

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 204, 558, 585, 498 is 3.

Given numbers are 204, 558, 585, 498

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

Apply this formula for all numbers.

Step1:

LCM(204, 558) = 18972

GCD(204, 558) = ( 204 x 558 ) / 18972

= 204 / 558

= 204

Step2:

LCM(6, 585) = 1170

GCD(6, 585) = ( 6 x 585 ) / 1170

= 6 / 585

= 6

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 204, 558, 585, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 771, 579, 779
• GCD of 458, 480, 651, 905
• GCD of 443, 312, 367, 658
• GCD of 583, 288, 534, 270
• GCD of 199, 918, 336, 793

Given numbers are 204, 558, 585, 498
The greatest common divisor of numbers 204, 558, 585, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 558, 585, 498 is 3.

1. What is the GCD of 204, 558, 585, 498?

GCD of given numbers 204, 558, 585, 498 is 3

2. How to calculate the greatest common divisor of 204, 558, 585, 498?

We can find the highest common divisor of 204, 558, 585, 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 204, 558, 585, 498 i.e 3.

3. How can I use the GCD of 204, 558, 585, 498Calculator?

Out the numbers 204, 558, 585, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.