GCD of 920, 884, 218, 433 Calculator

Given Input numbers are 920, 884, 218, 433

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 920, 884, 218, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 884, 218, 433 is 1.

Therefore, GCD of numbers 920, 884, 218, 433 is 1

Given Input Data is 920, 884, 218, 433

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 218 is 2 x 109

Prime Factorization of 433 is 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(920, 884) = 203320

GCD(920, 884) = ( 920 x 884 ) / 203320

GCD(920, 884) = 813280 / 203320

GCD(920, 884) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 218

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

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

GCD(4, 218) = 872 / 436

GCD(4, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 433

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

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

GCD(2, 433) = 866 / 866

GCD(2, 433) = 1

GCD of 920, 884, 218, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 334, 262, 302
• GCD of 272, 248, 153, 767
• GCD of 751, 117, 549, 400
• GCD of 446, 170, 933, 260
• GCD of 247, 263, 399, 945

1. What is the GCD of 920, 884, 218, 433?

GCD of 920, 884, 218, 433 is 1

2. Where do I get the detailed procedure to find GCD of 920, 884, 218, 433?

You can find a detailed procedure to find GCD of 920, 884, 218, 433 on our page.

3. How to find GCD of 920, 884, 218, 433 on a calculator?

You can find the GCD of 920, 884, 218, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.