GCD of 56, 16, 18, 73 Calculator

Given Input numbers are 56, 16, 18, 73

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 56, 16, 18, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 16, 18, 73 is 1.

Therefore, GCD of numbers 56, 16, 18, 73 is 1

Given Input Data is 56, 16, 18, 73

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

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

Prime Factorization of 18 is 2 x 3 x 3

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(56, 16) = 112

GCD(56, 16) = ( 56 x 16 ) / 112

GCD(56, 16) = 896 / 112

GCD(56, 16) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 18

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

LCM(8, 18) = 72

GCD(8, 18) = ( 8 x 18 ) / 72

GCD(8, 18) = 144 / 72

GCD(8, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

GCD of 56, 16, 18, 73 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 19, 86, 76
• GCD of 32, 59, 99, 35
• GCD of 98, 87, 53, 63
• GCD of 45, 92, 83, 94
• GCD of 83, 70, 21, 87

1. What is the GCD of 56, 16, 18, 73?

GCD of 56, 16, 18, 73 is 1

2. Where do I get the detailed procedure to find GCD of 56, 16, 18, 73?

You can find a detailed procedure to find GCD of 56, 16, 18, 73 on our page.

3. How to find GCD of 56, 16, 18, 73 on a calculator?

You can find the GCD of 56, 16, 18, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.