GCD of 505, 582, 556, 432 Calculator

Given Input numbers are 505, 582, 556, 432

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 505, 582, 556, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 582, 556, 432 is 1.

Therefore, GCD of numbers 505, 582, 556, 432 is 1

Given Input Data is 505, 582, 556, 432

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(505, 582) = 293910

GCD(505, 582) = ( 505 x 582 ) / 293910

GCD(505, 582) = 293910 / 293910

GCD(505, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 505, 582, 556, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 189, 746, 433
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• GCD of 359, 725, 588, 363

1. What is the GCD of 505, 582, 556, 432?

GCD of 505, 582, 556, 432 is 1

2. Where do I get the detailed procedure to find GCD of 505, 582, 556, 432?

You can find a detailed procedure to find GCD of 505, 582, 556, 432 on our page.

3. How to find GCD of 505, 582, 556, 432 on a calculator?

You can find the GCD of 505, 582, 556, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.