GCD of 225, 146, 389, 900 Calculator

Given Input numbers are 225, 146, 389, 900

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

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

Greatest Common Divisior

We found the divisors of 225, 146, 389, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 146, 389, 900 is 1.

Therefore, GCD of numbers 225, 146, 389, 900 is 1

Given Input Data is 225, 146, 389, 900

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 146 is 2 x 73

Prime Factorization of 389 is 389

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

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(225, 146) = 32850

GCD(225, 146) = ( 225 x 146 ) / 32850

GCD(225, 146) = 32850 / 32850

GCD(225, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 225, 146, 389, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 660, 830, 592
• GCD of 875, 391, 761, 561
• GCD of 141, 508, 110, 108
• GCD of 679, 867, 461, 576
• GCD of 794, 975, 194, 666

1. What is the GCD of 225, 146, 389, 900?

GCD of 225, 146, 389, 900 is 1

2. Where do I get the detailed procedure to find GCD of 225, 146, 389, 900?

You can find a detailed procedure to find GCD of 225, 146, 389, 900 on our page.

3. How to find GCD of 225, 146, 389, 900 on a calculator?

You can find the GCD of 225, 146, 389, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.