GCD of 753, 405, 165, 538 Calculator

Given Input numbers are 753, 405, 165, 538

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 753, 405, 165, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 405, 165, 538 is 1.

Therefore, GCD of numbers 753, 405, 165, 538 is 1

Given Input Data is 753, 405, 165, 538

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 538 is 2 x 269

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(753, 405) = 101655

GCD(753, 405) = ( 753 x 405 ) / 101655

GCD(753, 405) = 304965 / 101655

GCD(753, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 753, 405, 165, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 307, 338, 805
• GCD of 691, 823, 603, 521
• GCD of 951, 860, 738, 790
• GCD of 529, 685, 992, 841
• GCD of 201, 386, 265, 602

1. What is the GCD of 753, 405, 165, 538?

GCD of 753, 405, 165, 538 is 1

2. Where do I get the detailed procedure to find GCD of 753, 405, 165, 538?

You can find a detailed procedure to find GCD of 753, 405, 165, 538 on our page.

3. How to find GCD of 753, 405, 165, 538 on a calculator?

You can find the GCD of 753, 405, 165, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.