GCD of 567, 727, 506, 488 Calculator

Given Input numbers are 567, 727, 506, 488

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 567, 727, 506, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 727, 506, 488 is 1.

Therefore, GCD of numbers 567, 727, 506, 488 is 1

Given Input Data is 567, 727, 506, 488

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 727 is 727

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 488 is 2 x 2 x 2 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(567, 727) = 412209

GCD(567, 727) = ( 567 x 727 ) / 412209

GCD(567, 727) = 412209 / 412209

GCD(567, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 567, 727, 506, 488 is 1

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1. What is the GCD of 567, 727, 506, 488?

GCD of 567, 727, 506, 488 is 1

2. Where do I get the detailed procedure to find GCD of 567, 727, 506, 488?

You can find a detailed procedure to find GCD of 567, 727, 506, 488 on our page.

3. How to find GCD of 567, 727, 506, 488 on a calculator?

You can find the GCD of 567, 727, 506, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.