GCD of 104, 556, 596, 185 Calculator

Given Input numbers are 104, 556, 596, 185

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 104, 556, 596, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 556, 596, 185 is 1.

Therefore, GCD of numbers 104, 556, 596, 185 is 1

Given Input Data is 104, 556, 596, 185

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 185 is 5 x 37

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(104, 556) = 14456

GCD(104, 556) = ( 104 x 556 ) / 14456

GCD(104, 556) = 57824 / 14456

GCD(104, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 596

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

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

GCD(4, 596) = 2384 / 596

GCD(4, 596) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 185

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

LCM(4, 185) = 740

GCD(4, 185) = ( 4 x 185 ) / 740

GCD(4, 185) = 740 / 740

GCD(4, 185) = 1

GCD of 104, 556, 596, 185 is 1

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1. What is the GCD of 104, 556, 596, 185?

GCD of 104, 556, 596, 185 is 1

2. Where do I get the detailed procedure to find GCD of 104, 556, 596, 185?

You can find a detailed procedure to find GCD of 104, 556, 596, 185 on our page.

3. How to find GCD of 104, 556, 596, 185 on a calculator?

You can find the GCD of 104, 556, 596, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.