GCD of 585, 552, 444, 204 Calculator

Given Input numbers are 585, 552, 444, 204

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

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

GCD of numbers is the greatest common divisor

So, the GCD (585, 552, 444, 204) = 3.

Given numbers are 585, 552, 444, 204

The list of prime factors of all numbers are

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 444 are 2 x 2 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 585, 552, 444, 204 is 3.

Given numbers are 585, 552, 444, 204

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

Apply this formula for all numbers.

Step1:

LCM(585, 552) = 107640

GCD(585, 552) = ( 585 x 552 ) / 107640

= 585 / 552

= 585

Step2:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 585, 552, 444, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 256, 987, 421
• GCD of 466, 482, 601, 773
• GCD of 613, 607, 394, 540
• GCD of 986, 371, 988, 992
• GCD of 550, 392, 261, 260

Given numbers are 585, 552, 444, 204
The greatest common divisor of numbers 585, 552, 444, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 552, 444, 204 is 3.

1. What is the GCD of 585, 552, 444, 204?

GCD of given numbers 585, 552, 444, 204 is 3

2. How to calculate the greatest common divisor of 585, 552, 444, 204?

We can find the highest common divisor of 585, 552, 444, 204 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 585, 552, 444, 204 i.e 3.

3. How can I use the GCD of 585, 552, 444, 204Calculator?

Out the numbers 585, 552, 444, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.