GCD of 504, 567, 39, 878 Calculator

Given Input numbers are 504, 567, 39, 878

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 504, 567, 39, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 567, 39, 878 is 1.

Therefore, GCD of numbers 504, 567, 39, 878 is 1

Given Input Data is 504, 567, 39, 878

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 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 878 is 2 x 439

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, 567) = 4536

GCD(504, 567) = ( 504 x 567 ) / 4536

GCD(504, 567) = 285768 / 4536

GCD(504, 567) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 39

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

LCM(63, 39) = 819

GCD(63, 39) = ( 63 x 39 ) / 819

GCD(63, 39) = 2457 / 819

GCD(63, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 878

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

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

GCD(3, 878) = 2634 / 2634

GCD(3, 878) = 1

GCD of 504, 567, 39, 878 is 1

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• GCD of 978, 912, 68, 536
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• GCD of 789, 168, 36, 987

1. What is the GCD of 504, 567, 39, 878?

GCD of 504, 567, 39, 878 is 1

2. Where do I get the detailed procedure to find GCD of 504, 567, 39, 878?

You can find a detailed procedure to find GCD of 504, 567, 39, 878 on our page.

3. How to find GCD of 504, 567, 39, 878 on a calculator?

You can find the GCD of 504, 567, 39, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.