GCD of 585, 405, 168 Calculator

Given Input numbers are 585, 405, 168

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (585, 405, 168) = 3.

Given numbers are 585, 405, 168

The list of prime factors of all numbers are

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 585, 405, 168 is 3.

Given numbers are 585, 405, 168

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

Apply this formula for all numbers.

Step1:

LCM(585, 405) = 5265

GCD(585, 405) = ( 585 x 405 ) / 5265

= 585 / 405

= 585

Step2:

LCM(45, 168) = 2520

GCD(45, 168) = ( 45 x 168 ) / 2520

= 45 / 168

= 45

So, Greatest Common Divisor of 585, 405, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 283, 682
• GCD of 139, 639, 484
• GCD of 449, 196, 999
• GCD of 548, 982, 273
• GCD of 254, 277, 737

Given numbers are 585, 405, 168
The greatest common divisor of numbers 585, 405, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 405, 168 is 3.

1. What is the GCD of 585, 405, 168?

GCD of given numbers 585, 405, 168 is 3

2. How to calculate the greatest common divisor of 585, 405, 168?

We can find the highest common divisor of 585, 405, 168 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, 405, 168 i.e 3.

3. How can I use the GCD of 585, 405, 168Calculator?

Out the numbers 585, 405, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.