GCD of 510, 540, 728 Calculator

Given Input numbers are 510, 540, 728

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 510, 540, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 540, 728 is 2.

Therefore, GCD of numbers 510, 540, 728 is 2

Given Input Data is 510, 540, 728

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(510, 540) = 9180

GCD(510, 540) = ( 510 x 540 ) / 9180

GCD(510, 540) = 275400 / 9180

GCD(510, 540) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 728

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

LCM(30, 728) = 10920

GCD(30, 728) = ( 30 x 728 ) / 10920

GCD(30, 728) = 21840 / 10920

GCD(30, 728) = 2

GCD of 510, 540, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 400, 321
• GCD of 591, 509, 781
• GCD of 115, 334, 611
• GCD of 728, 544, 573
• GCD of 554, 158, 569

1. What is the GCD of 510, 540, 728?

GCD of 510, 540, 728 is 2

2. Where do I get the detailed procedure to find GCD of 510, 540, 728?

You can find a detailed procedure to find GCD of 510, 540, 728 on our page.

3. How to find GCD of 510, 540, 728 on a calculator?

You can find the GCD of 510, 540, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.