GCD of 390, 273, 407, 146 Calculator

Given Input numbers are 390, 273, 407, 146

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 390, 273, 407, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 273, 407, 146 is 1.

Therefore, GCD of numbers 390, 273, 407, 146 is 1

Given Input Data is 390, 273, 407, 146

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 273 is 3 x 7 x 13

Prime Factorization of 407 is 11 x 37

Prime Factorization of 146 is 2 x 73

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, 273) = 2730

GCD(390, 273) = ( 390 x 273 ) / 2730

GCD(390, 273) = 106470 / 2730

GCD(390, 273) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 407

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

LCM(39, 407) = 15873

GCD(39, 407) = ( 39 x 407 ) / 15873

GCD(39, 407) = 15873 / 15873

GCD(39, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 390, 273, 407, 146 is 1

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1. What is the GCD of 390, 273, 407, 146?

GCD of 390, 273, 407, 146 is 1

2. Where do I get the detailed procedure to find GCD of 390, 273, 407, 146?

You can find a detailed procedure to find GCD of 390, 273, 407, 146 on our page.

3. How to find GCD of 390, 273, 407, 146 on a calculator?

You can find the GCD of 390, 273, 407, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.