GCD of 361, 912, 10, 585 Calculator

Given Input numbers are 361, 912, 10, 585

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 361, 912, 10, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 912, 10, 585 is 1.

Therefore, GCD of numbers 361, 912, 10, 585 is 1

Given Input Data is 361, 912, 10, 585

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 361 is 19 x 19

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 585 is 3 x 3 x 5 x 13

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(361, 912) = 17328

GCD(361, 912) = ( 361 x 912 ) / 17328

GCD(361, 912) = 329232 / 17328

GCD(361, 912) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 10

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

LCM(19, 10) = 190

GCD(19, 10) = ( 19 x 10 ) / 190

GCD(19, 10) = 190 / 190

GCD(19, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 361, 912, 10, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 470, 97, 288
• GCD of 655, 143, 95, 452
• GCD of 485, 538, 60, 567
• GCD of 659, 173, 46, 128
• GCD of 634, 480, 95, 597

1. What is the GCD of 361, 912, 10, 585?

GCD of 361, 912, 10, 585 is 1

2. Where do I get the detailed procedure to find GCD of 361, 912, 10, 585?

You can find a detailed procedure to find GCD of 361, 912, 10, 585 on our page.

3. How to find GCD of 361, 912, 10, 585 on a calculator?

You can find the GCD of 361, 912, 10, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.