GCD of 50, 130, 448, 445 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 50, 130, 448, 445 i.e. 1 largest integer that divides all the numbers equally.

GCD of 50, 130, 448, 445 is 1

GCD(50, 130, 448, 445) = 1

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

GCD of

GCD of numbers 50, 130, 448, 445 is 1

GCD(50, 130, 448, 445) = 1

GCD of 50,130,448,445 Calculator

GCDof 50,130,448,445 is 1

Given Input numbers are 50, 130, 448, 445

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 50, 130, 448, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 130, 448, 445 is 1.

Therefore, GCD of numbers 50, 130, 448, 445 is 1

Finding GCD of 50, 130, 448, 445 using Prime Factorization

Given Input Data is 50, 130, 448, 445

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 445 is 5 x 89

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

Finding GCD of 50, 130, 448, 445 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(50, 130) = 650

GCD(50, 130) = ( 50 x 130 ) / 650

GCD(50, 130) = 6500 / 650

GCD(50, 130) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 448

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

LCM(10, 448) = 2240

GCD(10, 448) = ( 10 x 448 ) / 2240

GCD(10, 448) = 4480 / 2240

GCD(10, 448) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 50, 130, 448, 445 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 50, 130, 448, 445

1. What is the GCD of 50, 130, 448, 445?

GCD of 50, 130, 448, 445 is 1


2. Where do I get the detailed procedure to find GCD of 50, 130, 448, 445?

You can find a detailed procedure to find GCD of 50, 130, 448, 445 on our page.


3. How to find GCD of 50, 130, 448, 445 on a calculator?

You can find the GCD of 50, 130, 448, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.