GCD of 390, 417, 44 Calculator

Given Input numbers are 390, 417, 44

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 417

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

1, 3, 139, 417

Divisors of 44

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

1, 2, 4, 11, 22, 44

Greatest Common Divisior

We found the divisors of 390, 417, 44 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 417, 44 is 1.

Therefore, GCD of numbers 390, 417, 44 is 1

Given Input Data is 390, 417, 44

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 417 is 3 x 139

Prime Factorization of 44 is 2 x 2 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(390, 417) = 54210

GCD(390, 417) = ( 390 x 417 ) / 54210

GCD(390, 417) = 162630 / 54210

GCD(390, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

GCD of 390, 417, 44 is 1

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1. What is the GCD of 390, 417, 44?

GCD of 390, 417, 44 is 1

2. Where do I get the detailed procedure to find GCD of 390, 417, 44?

You can find a detailed procedure to find GCD of 390, 417, 44 on our page.

3. How to find GCD of 390, 417, 44 on a calculator?

You can find the GCD of 390, 417, 44 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.