GCD of 44, 406, 689, 393 Calculator

Given Input numbers are 44, 406, 689, 393

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 44, 406, 689, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 406, 689, 393 is 1.

Therefore, GCD of numbers 44, 406, 689, 393 is 1

Given Input Data is 44, 406, 689, 393

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 406 is 2 x 7 x 29

Prime Factorization of 689 is 13 x 53

Prime Factorization of 393 is 3 x 131

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, 406) = 8932

GCD(44, 406) = ( 44 x 406 ) / 8932

GCD(44, 406) = 17864 / 8932

GCD(44, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 44, 406, 689, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 880, 971, 678
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• GCD of 14, 474, 284, 212
• GCD of 91, 583, 268, 198
• GCD of 25, 883, 859, 522

1. What is the GCD of 44, 406, 689, 393?

GCD of 44, 406, 689, 393 is 1

2. Where do I get the detailed procedure to find GCD of 44, 406, 689, 393?

You can find a detailed procedure to find GCD of 44, 406, 689, 393 on our page.

3. How to find GCD of 44, 406, 689, 393 on a calculator?

You can find the GCD of 44, 406, 689, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.