GCD of 865, 900, 921, 447 Calculator

Given Input numbers are 865, 900, 921, 447

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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 865, 900, 921, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 900, 921, 447 is 1.

Therefore, GCD of numbers 865, 900, 921, 447 is 1

Given Input Data is 865, 900, 921, 447

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

Prime Factorization of 865 is 5 x 173

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

Prime Factorization of 921 is 3 x 307

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(865, 900) = 155700

GCD(865, 900) = ( 865 x 900 ) / 155700

GCD(865, 900) = 778500 / 155700

GCD(865, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 921

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

LCM(5, 921) = 4605

GCD(5, 921) = ( 5 x 921 ) / 4605

GCD(5, 921) = 4605 / 4605

GCD(5, 921) = 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 865, 900, 921, 447 is 1

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1. What is the GCD of 865, 900, 921, 447?

GCD of 865, 900, 921, 447 is 1

2. Where do I get the detailed procedure to find GCD of 865, 900, 921, 447?

You can find a detailed procedure to find GCD of 865, 900, 921, 447 on our page.

3. How to find GCD of 865, 900, 921, 447 on a calculator?

You can find the GCD of 865, 900, 921, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.