GCD of 390, 912, 20, 897 Calculator

Given Input numbers are 390, 912, 20, 897

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 390, 912, 20, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 912, 20, 897 is 1.

Therefore, GCD of numbers 390, 912, 20, 897 is 1

Given Input Data is 390, 912, 20, 897

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 897 is 3 x 13 x 23

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(390, 912) = 59280

GCD(390, 912) = ( 390 x 912 ) / 59280

GCD(390, 912) = 355680 / 59280

GCD(390, 912) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 390, 912, 20, 897 is 1

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1. What is the GCD of 390, 912, 20, 897?

GCD of 390, 912, 20, 897 is 1

2. Where do I get the detailed procedure to find GCD of 390, 912, 20, 897?

You can find a detailed procedure to find GCD of 390, 912, 20, 897 on our page.

3. How to find GCD of 390, 912, 20, 897 on a calculator?

You can find the GCD of 390, 912, 20, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.