GCD of 387, 864, 95, 446 Calculator

Given Input numbers are 387, 864, 95, 446

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 387, 864, 95, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 864, 95, 446 is 1.

Therefore, GCD of numbers 387, 864, 95, 446 is 1

Given Input Data is 387, 864, 95, 446

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 95 is 5 x 19

Prime Factorization of 446 is 2 x 223

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, 864) = 37152

GCD(387, 864) = ( 387 x 864 ) / 37152

GCD(387, 864) = 334368 / 37152

GCD(387, 864) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 95

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

LCM(9, 95) = 855

GCD(9, 95) = ( 9 x 95 ) / 855

GCD(9, 95) = 855 / 855

GCD(9, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 387, 864, 95, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 973, 70, 834
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• GCD of 644, 621, 18, 359

1. What is the GCD of 387, 864, 95, 446?

GCD of 387, 864, 95, 446 is 1

2. Where do I get the detailed procedure to find GCD of 387, 864, 95, 446?

You can find a detailed procedure to find GCD of 387, 864, 95, 446 on our page.

3. How to find GCD of 387, 864, 95, 446 on a calculator?

You can find the GCD of 387, 864, 95, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.