GCD of 387, 405, 958, 445 Calculator

Given Input numbers are 387, 405, 958, 445

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 387, 405, 958, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 405, 958, 445 is 1.

Therefore, GCD of numbers 387, 405, 958, 445 is 1

Given Input Data is 387, 405, 958, 445

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 958 is 2 x 479

Prime Factorization of 445 is 5 x 89

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(387, 405) = 17415

GCD(387, 405) = ( 387 x 405 ) / 17415

GCD(387, 405) = 156735 / 17415

GCD(387, 405) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 958

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

LCM(9, 958) = 8622

GCD(9, 958) = ( 9 x 958 ) / 8622

GCD(9, 958) = 8622 / 8622

GCD(9, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 387, 405, 958, 445 is 1

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1. What is the GCD of 387, 405, 958, 445?

GCD of 387, 405, 958, 445 is 1

2. Where do I get the detailed procedure to find GCD of 387, 405, 958, 445?

You can find a detailed procedure to find GCD of 387, 405, 958, 445 on our page.

3. How to find GCD of 387, 405, 958, 445 on a calculator?

You can find the GCD of 387, 405, 958, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.