GCD of 585, 825, 800, 812 Calculator

Given Input numbers are 585, 825, 800, 812

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (585, 825, 800, 812) = 1.

Given numbers are 585, 825, 800, 812

The list of prime factors of all numbers are

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 812 are 2 x 2 x 7 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 585, 825, 800, 812

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

Apply this formula for all numbers.

Step1:

LCM(585, 825) = 32175

GCD(585, 825) = ( 585 x 825 ) / 32175

= 585 / 825

= 585

Step2:

LCM(15, 800) = 2400

GCD(15, 800) = ( 15 x 800 ) / 2400

= 15 / 800

= 15

Step3:

LCM(5, 812) = 4060

GCD(5, 812) = ( 5 x 812 ) / 4060

= 5 / 812

= 5

So, Greatest Common Divisor of 585, 825, 800, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 101, 602, 617
• GCD of 676, 992, 825, 343
• GCD of 493, 511, 149, 973
• GCD of 258, 959, 918, 548
• GCD of 596, 729, 387, 198

Given numbers are 585, 825, 800, 812
The greatest common divisor of numbers 585, 825, 800, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 825, 800, 812 is 1.

1. What is the GCD of 585, 825, 800, 812?

GCD of given numbers 585, 825, 800, 812 is 1

2. How to calculate the greatest common divisor of 585, 825, 800, 812?

We can find the highest common divisor of 585, 825, 800, 812 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, 825, 800, 812 i.e 1.

3. How can I use the GCD of 585, 825, 800, 812Calculator?

Out the numbers 585, 825, 800, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.