GCD of 112, 417, 73, 220 Calculator

Given Input numbers are 112, 417, 73, 220

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 73

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

1, 73

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 112, 417, 73, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 417, 73, 220 is 1.

Therefore, GCD of numbers 112, 417, 73, 220 is 1

Given Input Data is 112, 417, 73, 220

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 417 is 3 x 139

Prime Factorization of 73 is 73

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(112, 417) = 46704

GCD(112, 417) = ( 112 x 417 ) / 46704

GCD(112, 417) = 46704 / 46704

GCD(112, 417) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 112, 417, 73, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 379, 84, 605
• GCD of 808, 979, 61, 963
• GCD of 285, 842, 90, 575
• GCD of 287, 804, 89, 320
• GCD of 225, 307, 75, 365

1. What is the GCD of 112, 417, 73, 220?

GCD of 112, 417, 73, 220 is 1

2. Where do I get the detailed procedure to find GCD of 112, 417, 73, 220?

You can find a detailed procedure to find GCD of 112, 417, 73, 220 on our page.

3. How to find GCD of 112, 417, 73, 220 on a calculator?

You can find the GCD of 112, 417, 73, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.