GCD of 44, 723, 916, 422 Calculator

Given Input numbers are 44, 723, 916, 422

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 44, 723, 916, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 723, 916, 422 is 1.

Therefore, GCD of numbers 44, 723, 916, 422 is 1

Given Input Data is 44, 723, 916, 422

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 723 is 3 x 241

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 422 is 2 x 211

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(44, 723) = 31812

GCD(44, 723) = ( 44 x 723 ) / 31812

GCD(44, 723) = 31812 / 31812

GCD(44, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 44, 723, 916, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 937, 991, 967
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• GCD of 82, 445, 318, 344
• GCD of 18, 972, 335, 266

1. What is the GCD of 44, 723, 916, 422?

GCD of 44, 723, 916, 422 is 1

2. Where do I get the detailed procedure to find GCD of 44, 723, 916, 422?

You can find a detailed procedure to find GCD of 44, 723, 916, 422 on our page.

3. How to find GCD of 44, 723, 916, 422 on a calculator?

You can find the GCD of 44, 723, 916, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.