GCD of 17, 305, 608, 592 Calculator

Given Input numbers are 17, 305, 608, 592

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 17, 305, 608, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 305, 608, 592 is 1.

Therefore, GCD of numbers 17, 305, 608, 592 is 1

Given Input Data is 17, 305, 608, 592

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

Prime Factorization of 17 is 17

Prime Factorization of 305 is 5 x 61

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 592 is 2 x 2 x 2 x 2 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(17, 305) = 5185

GCD(17, 305) = ( 17 x 305 ) / 5185

GCD(17, 305) = 5185 / 5185

GCD(17, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 17, 305, 608, 592 is 1

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• GCD of 40, 167, 792, 570
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1. What is the GCD of 17, 305, 608, 592?

GCD of 17, 305, 608, 592 is 1

2. Where do I get the detailed procedure to find GCD of 17, 305, 608, 592?

You can find a detailed procedure to find GCD of 17, 305, 608, 592 on our page.

3. How to find GCD of 17, 305, 608, 592 on a calculator?

You can find the GCD of 17, 305, 608, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.