GCD of 58, 47, 16, 73 Calculator

Given Input numbers are 58, 47, 16, 73

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 73

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

1, 73

Greatest Common Divisior

We found the divisors of 58, 47, 16, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 47, 16, 73 is 1.

Therefore, GCD of numbers 58, 47, 16, 73 is 1

Given Input Data is 58, 47, 16, 73

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 47 is 47

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 73 is 73

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(58, 47) = 2726

GCD(58, 47) = ( 58 x 47 ) / 2726

GCD(58, 47) = 2726 / 2726

GCD(58, 47) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

GCD of 58, 47, 16, 73 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 90, 56, 56
• GCD of 90, 75, 85, 49
• GCD of 95, 87, 45, 13
• GCD of 31, 38, 87, 52
• GCD of 15, 44, 65, 96

1. What is the GCD of 58, 47, 16, 73?

GCD of 58, 47, 16, 73 is 1

2. Where do I get the detailed procedure to find GCD of 58, 47, 16, 73?

You can find a detailed procedure to find GCD of 58, 47, 16, 73 on our page.

3. How to find GCD of 58, 47, 16, 73 on a calculator?

You can find the GCD of 58, 47, 16, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.