GCD of 585, 180, 549, 507 Calculator

Given Input numbers are 585, 180, 549, 507

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (585, 180, 549, 507) = 3.

Given numbers are 585, 180, 549, 507

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 549 are 3 x 3 x 61

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 585, 180, 549, 507 is 3.

Given numbers are 585, 180, 549, 507

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

Apply this formula for all numbers.

Step1:

LCM(585, 180) = 2340

GCD(585, 180) = ( 585 x 180 ) / 2340

= 585 / 180

= 585

Step2:

LCM(45, 549) = 2745

GCD(45, 549) = ( 45 x 549 ) / 2745

= 45 / 549

= 45

Step3:

LCM(9, 507) = 1521

GCD(9, 507) = ( 9 x 507 ) / 1521

= 9 / 507

= 9

So, Greatest Common Divisor of 585, 180, 549, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 347, 108, 334
• GCD of 271, 792, 704, 811
• GCD of 482, 718, 304, 203
• GCD of 963, 240, 921, 461
• GCD of 454, 488, 259, 377

Given numbers are 585, 180, 549, 507
The greatest common divisor of numbers 585, 180, 549, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 180, 549, 507 is 3.

1. What is the GCD of 585, 180, 549, 507?

GCD of given numbers 585, 180, 549, 507 is 3

2. How to calculate the greatest common divisor of 585, 180, 549, 507?

We can find the highest common divisor of 585, 180, 549, 507 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, 180, 549, 507 i.e 3.

3. How can I use the GCD of 585, 180, 549, 507Calculator?

Out the numbers 585, 180, 549, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.