GCD of 504, 585, 21, 107 Calculator

Given Input numbers are 504, 585, 21, 107

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 21

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

1, 3, 7, 21

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 504, 585, 21, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 585, 21, 107 is 1.

Therefore, GCD of numbers 504, 585, 21, 107 is 1

Given Input Data is 504, 585, 21, 107

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 107 is 107

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, 585) = 32760

GCD(504, 585) = ( 504 x 585 ) / 32760

GCD(504, 585) = 294840 / 32760

GCD(504, 585) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 21

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

LCM(9, 21) = 63

GCD(9, 21) = ( 9 x 21 ) / 63

GCD(9, 21) = 189 / 63

GCD(9, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 107

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

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

GCD(3, 107) = 321 / 321

GCD(3, 107) = 1

GCD of 504, 585, 21, 107 is 1

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1. What is the GCD of 504, 585, 21, 107?

GCD of 504, 585, 21, 107 is 1

2. Where do I get the detailed procedure to find GCD of 504, 585, 21, 107?

You can find a detailed procedure to find GCD of 504, 585, 21, 107 on our page.

3. How to find GCD of 504, 585, 21, 107 on a calculator?

You can find the GCD of 504, 585, 21, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.