GCD of 590, 392, 368, 176 Calculator

Given Input numbers are 590, 392, 368, 176

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 590, 392, 368, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 392, 368, 176 is 2.

Therefore, GCD of numbers 590, 392, 368, 176 is 2

Given Input Data is 590, 392, 368, 176

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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, 392) = 115640

GCD(590, 392) = ( 590 x 392 ) / 115640

GCD(590, 392) = 231280 / 115640

GCD(590, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 176

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

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

GCD(2, 176) = 352 / 176

GCD(2, 176) = 2

GCD of 590, 392, 368, 176 is 2

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1. What is the GCD of 590, 392, 368, 176?

GCD of 590, 392, 368, 176 is 2

2. Where do I get the detailed procedure to find GCD of 590, 392, 368, 176?

You can find a detailed procedure to find GCD of 590, 392, 368, 176 on our page.

3. How to find GCD of 590, 392, 368, 176 on a calculator?

You can find the GCD of 590, 392, 368, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.