GCD of 382, 413, 867, 960 Calculator

Given Input numbers are 382, 413, 867, 960

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 382, 413, 867, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 413, 867, 960 is 1.

Therefore, GCD of numbers 382, 413, 867, 960 is 1

Given Input Data is 382, 413, 867, 960

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 413 is 7 x 59

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(382, 413) = 157766

GCD(382, 413) = ( 382 x 413 ) / 157766

GCD(382, 413) = 157766 / 157766

GCD(382, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 382, 413, 867, 960 is 1

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1. What is the GCD of 382, 413, 867, 960?

GCD of 382, 413, 867, 960 is 1

2. Where do I get the detailed procedure to find GCD of 382, 413, 867, 960?

You can find a detailed procedure to find GCD of 382, 413, 867, 960 on our page.

3. How to find GCD of 382, 413, 867, 960 on a calculator?

You can find the GCD of 382, 413, 867, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.