GCD of 507, 540, 261 Calculator

Given Input numbers are 507, 540, 261

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 507, 540, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 540, 261 is 3.

Therefore, GCD of numbers 507, 540, 261 is 3

Given Input Data is 507, 540, 261

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

Prime Factorization of 507 is 3 x 13 x 13

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

Prime Factorization of 261 is 3 x 3 x 29

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(507, 540) = 91260

GCD(507, 540) = ( 507 x 540 ) / 91260

GCD(507, 540) = 273780 / 91260

GCD(507, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 507, 540, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 838, 237
• GCD of 273, 584, 730
• GCD of 698, 668, 781
• GCD of 337, 430, 472
• GCD of 971, 596, 985

1. What is the GCD of 507, 540, 261?

GCD of 507, 540, 261 is 3

2. Where do I get the detailed procedure to find GCD of 507, 540, 261?

You can find a detailed procedure to find GCD of 507, 540, 261 on our page.

3. How to find GCD of 507, 540, 261 on a calculator?

You can find the GCD of 507, 540, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.