GCD of 20, 545, 382, 385 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 20, 545, 382, 385 i.e. 1 largest integer that divides all the numbers equally.

GCD of 20, 545, 382, 385 is 1

GCD(20, 545, 382, 385) = 1

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

GCD of

GCD of numbers 20, 545, 382, 385 is 1

GCD(20, 545, 382, 385) = 1

GCD of 20,545,382,385 Calculator

GCDof 20,545,382,385 is 1

Given Input numbers are 20, 545, 382, 385

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 20, 545, 382, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 545, 382, 385 is 1.

Therefore, GCD of numbers 20, 545, 382, 385 is 1

Finding GCD of 20, 545, 382, 385 using Prime Factorization

Given Input Data is 20, 545, 382, 385

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 545 is 5 x 109

Prime Factorization of 382 is 2 x 191

Prime Factorization of 385 is 5 x 7 x 11

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

Finding GCD of 20, 545, 382, 385 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(20, 545) = 2180

GCD(20, 545) = ( 20 x 545 ) / 2180

GCD(20, 545) = 10900 / 2180

GCD(20, 545) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 382

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

LCM(5, 382) = 1910

GCD(5, 382) = ( 5 x 382 ) / 1910

GCD(5, 382) = 1910 / 1910

GCD(5, 382) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 20, 545, 382, 385 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 20, 545, 382, 385

1. What is the GCD of 20, 545, 382, 385?

GCD of 20, 545, 382, 385 is 1


2. Where do I get the detailed procedure to find GCD of 20, 545, 382, 385?

You can find a detailed procedure to find GCD of 20, 545, 382, 385 on our page.


3. How to find GCD of 20, 545, 382, 385 on a calculator?

You can find the GCD of 20, 545, 382, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.