GCD of 513, 385, 65, 457 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 513, 385, 65, 457 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 385, 65, 457 is 1

GCD(513, 385, 65, 457) = 1

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

GCD of

GCD of numbers 513, 385, 65, 457 is 1

GCD(513, 385, 65, 457) = 1

GCD of 513,385,65,457 Calculator

GCDof 513,385,65,457 is 1

Given Input numbers are 513, 385, 65, 457

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 385

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

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 513, 385, 65, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 385, 65, 457 is 1.

Therefore, GCD of numbers 513, 385, 65, 457 is 1

Finding GCD of 513, 385, 65, 457 using Prime Factorization

Given Input Data is 513, 385, 65, 457

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 457 is 457

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

Finding GCD of 513, 385, 65, 457 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(513, 385) = 197505

GCD(513, 385) = ( 513 x 385 ) / 197505

GCD(513, 385) = 197505 / 197505

GCD(513, 385) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 513, 385, 65, 457 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 385, 65, 457

1. What is the GCD of 513, 385, 65, 457?

GCD of 513, 385, 65, 457 is 1


2. Where do I get the detailed procedure to find GCD of 513, 385, 65, 457?

You can find a detailed procedure to find GCD of 513, 385, 65, 457 on our page.


3. How to find GCD of 513, 385, 65, 457 on a calculator?

You can find the GCD of 513, 385, 65, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.