GCD of 446, 505, 20, 984 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 446, 505, 20, 984 i.e. 1 largest integer that divides all the numbers equally.

GCD of 446, 505, 20, 984 is 1

GCD(446, 505, 20, 984) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 446, 505, 20, 984 is 1

GCD(446, 505, 20, 984) = 1

GCD of 446,505,20,984 Calculator

GCDof 446,505,20,984 is 1

Given Input numbers are 446, 505, 20, 984

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 446, 505, 20, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 505, 20, 984 is 1.

Therefore, GCD of numbers 446, 505, 20, 984 is 1

Finding GCD of 446, 505, 20, 984 using Prime Factorization

Given Input Data is 446, 505, 20, 984

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 505 is 5 x 101

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 446, 505, 20, 984 using LCM Formula

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(446, 505) = 225230

GCD(446, 505) = ( 446 x 505 ) / 225230

GCD(446, 505) = 225230 / 225230

GCD(446, 505) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 446, 505, 20, 984 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 446, 505, 20, 984

1. What is the GCD of 446, 505, 20, 984?

GCD of 446, 505, 20, 984 is 1


2. Where do I get the detailed procedure to find GCD of 446, 505, 20, 984?

You can find a detailed procedure to find GCD of 446, 505, 20, 984 on our page.


3. How to find GCD of 446, 505, 20, 984 on a calculator?

You can find the GCD of 446, 505, 20, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.