GCD of 585, 192, 462, 807 Calculator

Given Input numbers are 585, 192, 462, 807

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (585, 192, 462, 807) = 3.

Given numbers are 585, 192, 462, 807

The list of prime factors of all numbers are

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 585, 192, 462, 807 is 3.

Given numbers are 585, 192, 462, 807

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

Apply this formula for all numbers.

Step1:

LCM(585, 192) = 37440

GCD(585, 192) = ( 585 x 192 ) / 37440

= 585 / 192

= 585

Step2:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

Step3:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

So, Greatest Common Divisor of 585, 192, 462, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 470, 736, 318
• GCD of 153, 169, 671, 396
• GCD of 380, 386, 747, 865
• GCD of 920, 702, 409, 525
• GCD of 385, 490, 382, 268

Given numbers are 585, 192, 462, 807
The greatest common divisor of numbers 585, 192, 462, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 192, 462, 807 is 3.

1. What is the GCD of 585, 192, 462, 807?

GCD of given numbers 585, 192, 462, 807 is 3

2. How to calculate the greatest common divisor of 585, 192, 462, 807?

We can find the highest common divisor of 585, 192, 462, 807 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, 192, 462, 807 i.e 3.

3. How can I use the GCD of 585, 192, 462, 807Calculator?

Out the numbers 585, 192, 462, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.