GCD of 585, 362, 363, 990 Calculator

Given Input numbers are 585, 362, 363, 990

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (585, 362, 363, 990) = 1.

Given numbers are 585, 362, 363, 990

The list of prime factors of all numbers are

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

Prime factors of 362 are 2 x 181

Prime factors of 363 are 3 x 11 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 585, 362, 363, 990

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

Apply this formula for all numbers.

Step1:

LCM(585, 362) = 211770

GCD(585, 362) = ( 585 x 362 ) / 211770

= 585 / 362

= 585

Step2:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 585, 362, 363, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 162, 215, 629
• GCD of 122, 356, 141, 878
• GCD of 774, 638, 562, 325
• GCD of 610, 894, 332, 192
• GCD of 147, 404, 955, 586

Given numbers are 585, 362, 363, 990
The greatest common divisor of numbers 585, 362, 363, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 362, 363, 990 is 1.

1. What is the GCD of 585, 362, 363, 990?

GCD of given numbers 585, 362, 363, 990 is 1

2. How to calculate the greatest common divisor of 585, 362, 363, 990?

We can find the highest common divisor of 585, 362, 363, 990 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, 362, 363, 990 i.e 1.

3. How can I use the GCD of 585, 362, 363, 990Calculator?

Out the numbers 585, 362, 363, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.