GCD of 540, 441, 462, 513 Calculator

Given Input numbers are 540, 441, 462, 513

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

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 540, 441, 462, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 441, 462, 513 is 3.

Therefore, GCD of numbers 540, 441, 462, 513 is 3

Given Input Data is 540, 441, 462, 513

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

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 462 is 2 x 3 x 7 x 11

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(540, 441) = 26460

GCD(540, 441) = ( 540 x 441 ) / 26460

GCD(540, 441) = 238140 / 26460

GCD(540, 441) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 462

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

LCM(9, 462) = 1386

GCD(9, 462) = ( 9 x 462 ) / 1386

GCD(9, 462) = 4158 / 1386

GCD(9, 462) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 513

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

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

GCD(3, 513) = 1539 / 513

GCD(3, 513) = 3

GCD of 540, 441, 462, 513 is 3

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1. What is the GCD of 540, 441, 462, 513?

GCD of 540, 441, 462, 513 is 3

2. Where do I get the detailed procedure to find GCD of 540, 441, 462, 513?

You can find a detailed procedure to find GCD of 540, 441, 462, 513 on our page.

3. How to find GCD of 540, 441, 462, 513 on a calculator?

You can find the GCD of 540, 441, 462, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.