GCD of 440, 996, 73, 227 Calculator

Given Input numbers are 440, 996, 73, 227

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 73

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

1, 73

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 440, 996, 73, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 996, 73, 227 is 1.

Therefore, GCD of numbers 440, 996, 73, 227 is 1

Given Input Data is 440, 996, 73, 227

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 73 is 73

Prime Factorization of 227 is 227

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(440, 996) = 109560

GCD(440, 996) = ( 440 x 996 ) / 109560

GCD(440, 996) = 438240 / 109560

GCD(440, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 73

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

LCM(4, 73) = 292

GCD(4, 73) = ( 4 x 73 ) / 292

GCD(4, 73) = 292 / 292

GCD(4, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 440, 996, 73, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 456, 88, 265
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• GCD of 229, 616, 37, 787
• GCD of 312, 590, 99, 742
• GCD of 233, 763, 18, 435

1. What is the GCD of 440, 996, 73, 227?

GCD of 440, 996, 73, 227 is 1

2. Where do I get the detailed procedure to find GCD of 440, 996, 73, 227?

You can find a detailed procedure to find GCD of 440, 996, 73, 227 on our page.

3. How to find GCD of 440, 996, 73, 227 on a calculator?

You can find the GCD of 440, 996, 73, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.