GCD of 590, 644, 38, 352 Calculator

Given Input numbers are 590, 644, 38, 352

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 590, 644, 38, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 644, 38, 352 is 2.

Therefore, GCD of numbers 590, 644, 38, 352 is 2

Given Input Data is 590, 644, 38, 352

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 352 is 2 x 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, 644) = 189980

GCD(590, 644) = ( 590 x 644 ) / 189980

GCD(590, 644) = 379960 / 189980

GCD(590, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 590, 644, 38, 352 is 2

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1. What is the GCD of 590, 644, 38, 352?

GCD of 590, 644, 38, 352 is 2

2. Where do I get the detailed procedure to find GCD of 590, 644, 38, 352?

You can find a detailed procedure to find GCD of 590, 644, 38, 352 on our page.

3. How to find GCD of 590, 644, 38, 352 on a calculator?

You can find the GCD of 590, 644, 38, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.