GCD of 129, 504, 21, 486 Calculator

Given Input numbers are 129, 504, 21, 486

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 129, 504, 21, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 504, 21, 486 is 3.

Therefore, GCD of numbers 129, 504, 21, 486 is 3

Given Input Data is 129, 504, 21, 486

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

Prime Factorization of 129 is 3 x 43

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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(129, 504) = 21672

GCD(129, 504) = ( 129 x 504 ) / 21672

GCD(129, 504) = 65016 / 21672

GCD(129, 504) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 486

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

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

GCD(3, 486) = 1458 / 486

GCD(3, 486) = 3

GCD of 129, 504, 21, 486 is 3

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1. What is the GCD of 129, 504, 21, 486?

GCD of 129, 504, 21, 486 is 3

2. Where do I get the detailed procedure to find GCD of 129, 504, 21, 486?

You can find a detailed procedure to find GCD of 129, 504, 21, 486 on our page.

3. How to find GCD of 129, 504, 21, 486 on a calculator?

You can find the GCD of 129, 504, 21, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.