GCD of 13, 73, 59, 58 Calculator

Given Input numbers are 13, 73, 59, 58

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 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 13, 73, 59, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 73, 59, 58 is 1.

Therefore, GCD of numbers 13, 73, 59, 58 is 1

Given Input Data is 13, 73, 59, 58

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

Prime Factorization of 13 is 13

Prime Factorization of 73 is 73

Prime Factorization of 59 is 59

Prime Factorization of 58 is 2 x 29

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, 73) = 949

GCD(13, 73) = ( 13 x 73 ) / 949

GCD(13, 73) = 949 / 949

GCD(13, 73) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

GCD of 13, 73, 59, 58 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 98, 46, 18
• GCD of 95, 84, 62, 79
• GCD of 65, 98, 63, 60
• GCD of 83, 83, 66, 24
• GCD of 70, 62, 79, 18

1. What is the GCD of 13, 73, 59, 58?

GCD of 13, 73, 59, 58 is 1

2. Where do I get the detailed procedure to find GCD of 13, 73, 59, 58?

You can find a detailed procedure to find GCD of 13, 73, 59, 58 on our page.

3. How to find GCD of 13, 73, 59, 58 on a calculator?

You can find the GCD of 13, 73, 59, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.