GCD of 545, 730, 963, 384 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 545, 730, 963, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 545, 730, 963, 384 is 1

GCD(545, 730, 963, 384) = 1

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

GCD of

GCD of numbers 545, 730, 963, 384 is 1

GCD(545, 730, 963, 384) = 1

GCD of 545,730,963,384 Calculator

GCDof 545,730,963,384 is 1

Given Input numbers are 545, 730, 963, 384

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

Divisors of 545

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

1, 5, 109, 545

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 545, 730, 963, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 730, 963, 384 is 1.

Therefore, GCD of numbers 545, 730, 963, 384 is 1

Finding GCD of 545, 730, 963, 384 using Prime Factorization

Given Input Data is 545, 730, 963, 384

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 545, 730, 963, 384 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(545, 730) = 79570

GCD(545, 730) = ( 545 x 730 ) / 79570

GCD(545, 730) = 397850 / 79570

GCD(545, 730) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 963

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

LCM(5, 963) = 4815

GCD(5, 963) = ( 5 x 963 ) / 4815

GCD(5, 963) = 4815 / 4815

GCD(5, 963) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 545, 730, 963, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 545, 730, 963, 384

1. What is the GCD of 545, 730, 963, 384?

GCD of 545, 730, 963, 384 is 1


2. Where do I get the detailed procedure to find GCD of 545, 730, 963, 384?

You can find a detailed procedure to find GCD of 545, 730, 963, 384 on our page.


3. How to find GCD of 545, 730, 963, 384 on a calculator?

You can find the GCD of 545, 730, 963, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.