GCD of 495, 324, 390, 524 Calculator

Given Input numbers are 495, 324, 390, 524

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 495, 324, 390, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 324, 390, 524 is 1.

Therefore, GCD of numbers 495, 324, 390, 524 is 1

Given Input Data is 495, 324, 390, 524

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 524 is 2 x 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

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(495, 324) = 17820

GCD(495, 324) = ( 495 x 324 ) / 17820

GCD(495, 324) = 160380 / 17820

GCD(495, 324) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 390

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

LCM(9, 390) = 1170

GCD(9, 390) = ( 9 x 390 ) / 1170

GCD(9, 390) = 3510 / 1170

GCD(9, 390) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 524

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

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

GCD(3, 524) = 1572 / 1572

GCD(3, 524) = 1

GCD of 495, 324, 390, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 107, 913, 534
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• GCD of 626, 759, 865, 533

1. What is the GCD of 495, 324, 390, 524?

GCD of 495, 324, 390, 524 is 1

2. Where do I get the detailed procedure to find GCD of 495, 324, 390, 524?

You can find a detailed procedure to find GCD of 495, 324, 390, 524 on our page.

3. How to find GCD of 495, 324, 390, 524 on a calculator?

You can find the GCD of 495, 324, 390, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.