GCD of 405, 750, 540 Calculator

Given Input numbers are 405, 750, 540

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

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 405, 750, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 750, 540 is 15.

Therefore, GCD of numbers 405, 750, 540 is 15

Given Input Data is 405, 750, 540

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

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(405, 750) = 20250

GCD(405, 750) = ( 405 x 750 ) / 20250

GCD(405, 750) = 303750 / 20250

GCD(405, 750) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 540

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

LCM(15, 540) = 540

GCD(15, 540) = ( 15 x 540 ) / 540

GCD(15, 540) = 8100 / 540

GCD(15, 540) = 15

GCD of 405, 750, 540 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 586, 144
• GCD of 655, 369, 374
• GCD of 113, 373, 306
• GCD of 549, 305, 595
• GCD of 794, 104, 809

1. What is the GCD of 405, 750, 540?

GCD of 405, 750, 540 is 15

2. Where do I get the detailed procedure to find GCD of 405, 750, 540?

You can find a detailed procedure to find GCD of 405, 750, 540 on our page.

3. How to find GCD of 405, 750, 540 on a calculator?

You can find the GCD of 405, 750, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.