GCD of 900, 393, 425, 866 Calculator

Given Input numbers are 900, 393, 425, 866

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 900, 393, 425, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 393, 425, 866 is 1.

Therefore, GCD of numbers 900, 393, 425, 866 is 1

Given Input Data is 900, 393, 425, 866

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 393 is 3 x 131

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 866 is 2 x 433

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(900, 393) = 117900

GCD(900, 393) = ( 900 x 393 ) / 117900

GCD(900, 393) = 353700 / 117900

GCD(900, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 425

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

LCM(3, 425) = 1275

GCD(3, 425) = ( 3 x 425 ) / 1275

GCD(3, 425) = 1275 / 1275

GCD(3, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

GCD of 900, 393, 425, 866 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 586, 797, 768
• GCD of 747, 887, 849, 883
• GCD of 920, 798, 720, 639
• GCD of 910, 363, 730, 566
• GCD of 565, 240, 322, 930

1. What is the GCD of 900, 393, 425, 866?

GCD of 900, 393, 425, 866 is 1

2. Where do I get the detailed procedure to find GCD of 900, 393, 425, 866?

You can find a detailed procedure to find GCD of 900, 393, 425, 866 on our page.

3. How to find GCD of 900, 393, 425, 866 on a calculator?

You can find the GCD of 900, 393, 425, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.