GCD of 590, 638, 152, 174 Calculator

Given Input numbers are 590, 638, 152, 174

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 590, 638, 152, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 638, 152, 174 is 2.

Therefore, GCD of numbers 590, 638, 152, 174 is 2

Given Input Data is 590, 638, 152, 174

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 174 is 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(590, 638) = 188210

GCD(590, 638) = ( 590 x 638 ) / 188210

GCD(590, 638) = 376420 / 188210

GCD(590, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 590, 638, 152, 174 is 2

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1. What is the GCD of 590, 638, 152, 174?

GCD of 590, 638, 152, 174 is 2

2. Where do I get the detailed procedure to find GCD of 590, 638, 152, 174?

You can find a detailed procedure to find GCD of 590, 638, 152, 174 on our page.

3. How to find GCD of 590, 638, 152, 174 on a calculator?

You can find the GCD of 590, 638, 152, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.