GCD of 13, 590, 296, 167 Calculator

Given Input numbers are 13, 590, 296, 167

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

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

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 13, 590, 296, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 590, 296, 167 is 1.

Therefore, GCD of numbers 13, 590, 296, 167 is 1

Given Input Data is 13, 590, 296, 167

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

Prime Factorization of 13 is 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 167 is 167

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(13, 590) = 7670

GCD(13, 590) = ( 13 x 590 ) / 7670

GCD(13, 590) = 7670 / 7670

GCD(13, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 13, 590, 296, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 434, 378, 116
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• GCD of 30, 204, 720, 368

1. What is the GCD of 13, 590, 296, 167?

GCD of 13, 590, 296, 167 is 1

2. Where do I get the detailed procedure to find GCD of 13, 590, 296, 167?

You can find a detailed procedure to find GCD of 13, 590, 296, 167 on our page.

3. How to find GCD of 13, 590, 296, 167 on a calculator?

You can find the GCD of 13, 590, 296, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.