GCD of 221, 504, 42, 596 Calculator

Given Input numbers are 221, 504, 42, 596

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 221, 504, 42, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 504, 42, 596 is 1.

Therefore, GCD of numbers 221, 504, 42, 596 is 1

Given Input Data is 221, 504, 42, 596

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

Prime Factorization of 221 is 13 x 17

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 596 is 2 x 2 x 149

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(221, 504) = 111384

GCD(221, 504) = ( 221 x 504 ) / 111384

GCD(221, 504) = 111384 / 111384

GCD(221, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 221, 504, 42, 596 is 1

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1. What is the GCD of 221, 504, 42, 596?

GCD of 221, 504, 42, 596 is 1

2. Where do I get the detailed procedure to find GCD of 221, 504, 42, 596?

You can find a detailed procedure to find GCD of 221, 504, 42, 596 on our page.

3. How to find GCD of 221, 504, 42, 596 on a calculator?

You can find the GCD of 221, 504, 42, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.