GCD of 504, 514, 20, 549 Calculator

Given Input numbers are 504, 514, 20, 549

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 504, 514, 20, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 514, 20, 549 is 1.

Therefore, GCD of numbers 504, 514, 20, 549 is 1

Given Input Data is 504, 514, 20, 549

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 514 is 2 x 257

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 549 is 3 x 3 x 61

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(504, 514) = 129528

GCD(504, 514) = ( 504 x 514 ) / 129528

GCD(504, 514) = 259056 / 129528

GCD(504, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 549

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

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

GCD(2, 549) = 1098 / 1098

GCD(2, 549) = 1

GCD of 504, 514, 20, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 423, 24, 326
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1. What is the GCD of 504, 514, 20, 549?

GCD of 504, 514, 20, 549 is 1

2. Where do I get the detailed procedure to find GCD of 504, 514, 20, 549?

You can find a detailed procedure to find GCD of 504, 514, 20, 549 on our page.

3. How to find GCD of 504, 514, 20, 549 on a calculator?

You can find the GCD of 504, 514, 20, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.