GCD of 585, 780, 321, 558 Calculator

Given Input numbers are 585, 780, 321, 558

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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

GCD of numbers is the greatest common divisor

So, the GCD (585, 780, 321, 558) = 3.

Given numbers are 585, 780, 321, 558

The list of prime factors of all numbers are

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 321 are 3 x 107

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

The highest common occurrence is 3¹

Therefore, GCD of 585, 780, 321, 558 is 3.

Given numbers are 585, 780, 321, 558

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

Apply this formula for all numbers.

Step1:

LCM(585, 780) = 2340

GCD(585, 780) = ( 585 x 780 ) / 2340

= 585 / 780

= 585

Step2:

LCM(195, 321) = 20865

GCD(195, 321) = ( 195 x 321 ) / 20865

= 195 / 321

= 195

Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

So, Greatest Common Divisor of 585, 780, 321, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 646, 253, 270
• GCD of 983, 473, 471, 526
• GCD of 103, 186, 228, 996
• GCD of 799, 408, 792, 450
• GCD of 557, 322, 626, 513

Given numbers are 585, 780, 321, 558
The greatest common divisor of numbers 585, 780, 321, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 780, 321, 558 is 3.

1. What is the GCD of 585, 780, 321, 558?

GCD of given numbers 585, 780, 321, 558 is 3

2. How to calculate the greatest common divisor of 585, 780, 321, 558?

We can find the highest common divisor of 585, 780, 321, 558 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, 780, 321, 558 i.e 3.

3. How can I use the GCD of 585, 780, 321, 558Calculator?

Out the numbers 585, 780, 321, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.