GCD of 73, 657, 900, 447 Calculator

Given Input numbers are 73, 657, 900, 447

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 73, 657, 900, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 657, 900, 447 is 1.

Therefore, GCD of numbers 73, 657, 900, 447 is 1

Given Input Data is 73, 657, 900, 447

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

Prime Factorization of 73 is 73

Prime Factorization of 657 is 3 x 3 x 73

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

Prime Factorization of 447 is 3 x 149

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(73, 657) = 657

GCD(73, 657) = ( 73 x 657 ) / 657

GCD(73, 657) = 47961 / 657

GCD(73, 657) = 73

Step2:

Here we consider the GCD from the above i.e. 73 as first number and the next as 900

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

LCM(73, 900) = 65700

GCD(73, 900) = ( 73 x 900 ) / 65700

GCD(73, 900) = 65700 / 65700

GCD(73, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 73, 657, 900, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 470, 905, 736
• GCD of 62, 308, 110, 712
• GCD of 64, 191, 451, 796
• GCD of 80, 117, 754, 200
• GCD of 53, 351, 876, 814

1. What is the GCD of 73, 657, 900, 447?

GCD of 73, 657, 900, 447 is 1

2. Where do I get the detailed procedure to find GCD of 73, 657, 900, 447?

You can find a detailed procedure to find GCD of 73, 657, 900, 447 on our page.

3. How to find GCD of 73, 657, 900, 447 on a calculator?

You can find the GCD of 73, 657, 900, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.