GCD of 596, 788, 47, 174 Calculator

Given Input numbers are 596, 788, 47, 174

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

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 596, 788, 47, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 788, 47, 174 is 1.

Therefore, GCD of numbers 596, 788, 47, 174 is 1

Given Input Data is 596, 788, 47, 174

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 47 is 47

Prime Factorization of 174 is 2 x 3 x 29

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(596, 788) = 117412

GCD(596, 788) = ( 596 x 788 ) / 117412

GCD(596, 788) = 469648 / 117412

GCD(596, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 596, 788, 47, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 298, 21, 949
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• GCD of 106, 420, 28, 607
• GCD of 964, 249, 83, 428
• GCD of 306, 885, 40, 816

1. What is the GCD of 596, 788, 47, 174?

GCD of 596, 788, 47, 174 is 1

2. Where do I get the detailed procedure to find GCD of 596, 788, 47, 174?

You can find a detailed procedure to find GCD of 596, 788, 47, 174 on our page.

3. How to find GCD of 596, 788, 47, 174 on a calculator?

You can find the GCD of 596, 788, 47, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.