GCD of 165, 531, 724 Calculator

Given Input numbers are 165, 531, 724

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 165, 531, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 531, 724 is 1.

Therefore, GCD of numbers 165, 531, 724 is 1

Given Input Data is 165, 531, 724

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 724 is 2 x 2 x 181

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(165, 531) = 29205

GCD(165, 531) = ( 165 x 531 ) / 29205

GCD(165, 531) = 87615 / 29205

GCD(165, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 724

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

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

GCD(3, 724) = 2172 / 2172

GCD(3, 724) = 1

GCD of 165, 531, 724 is 1

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1. What is the GCD of 165, 531, 724?

GCD of 165, 531, 724 is 1

2. Where do I get the detailed procedure to find GCD of 165, 531, 724?

You can find a detailed procedure to find GCD of 165, 531, 724 on our page.

3. How to find GCD of 165, 531, 724 on a calculator?

You can find the GCD of 165, 531, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.