GCD of 567, 984, 189, 504 Calculator

Given Input numbers are 567, 984, 189, 504

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

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 567, 984, 189, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 984, 189, 504 is 3.

Therefore, GCD of numbers 567, 984, 189, 504 is 3

Given Input Data is 567, 984, 189, 504

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

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(567, 984) = 185976

GCD(567, 984) = ( 567 x 984 ) / 185976

GCD(567, 984) = 557928 / 185976

GCD(567, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 189

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

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

GCD(3, 189) = 567 / 189

GCD(3, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 504

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

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

GCD(3, 504) = 1512 / 504

GCD(3, 504) = 3

GCD of 567, 984, 189, 504 is 3

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1. What is the GCD of 567, 984, 189, 504?

GCD of 567, 984, 189, 504 is 3

2. Where do I get the detailed procedure to find GCD of 567, 984, 189, 504?

You can find a detailed procedure to find GCD of 567, 984, 189, 504 on our page.

3. How to find GCD of 567, 984, 189, 504 on a calculator?

You can find the GCD of 567, 984, 189, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.