GCD of 684, 537, 405 Calculator

Given Input numbers are 684, 537, 405

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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

Greatest Common Divisior

We found the divisors of 684, 537, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 537, 405 is 3.

Therefore, GCD of numbers 684, 537, 405 is 3

Given Input Data is 684, 537, 405

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 537 is 3 x 179

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

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(684, 537) = 122436

GCD(684, 537) = ( 684 x 537 ) / 122436

GCD(684, 537) = 367308 / 122436

GCD(684, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 405

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

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

GCD(3, 405) = 1215 / 405

GCD(3, 405) = 3

GCD of 684, 537, 405 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 319, 354
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• GCD of 341, 275, 414
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1. What is the GCD of 684, 537, 405?

GCD of 684, 537, 405 is 3

2. Where do I get the detailed procedure to find GCD of 684, 537, 405?

You can find a detailed procedure to find GCD of 684, 537, 405 on our page.

3. How to find GCD of 684, 537, 405 on a calculator?

You can find the GCD of 684, 537, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.