GCD of 513, 135, 731 Calculator

Given Input numbers are 513, 135, 731

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 513, 135, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 135, 731 is 1.

Therefore, GCD of numbers 513, 135, 731 is 1

Given Input Data is 513, 135, 731

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 731 is 17 x 43

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

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, 135) = 2565

GCD(513, 135) = ( 513 x 135 ) / 2565

GCD(513, 135) = 69255 / 2565

GCD(513, 135) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 731

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

LCM(27, 731) = 19737

GCD(27, 731) = ( 27 x 731 ) / 19737

GCD(27, 731) = 19737 / 19737

GCD(27, 731) = 1

GCD of 513, 135, 731 is 1

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1. What is the GCD of 513, 135, 731?

GCD of 513, 135, 731 is 1

2. Where do I get the detailed procedure to find GCD of 513, 135, 731?

You can find a detailed procedure to find GCD of 513, 135, 731 on our page.

3. How to find GCD of 513, 135, 731 on a calculator?

You can find the GCD of 513, 135, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.