GCD of 976, 327, 392, 405 Calculator

Given Input numbers are 976, 327, 392, 405

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

Greatest Common Divisior

We found the divisors of 976, 327, 392, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 327, 392, 405 is 1.

Therefore, GCD of numbers 976, 327, 392, 405 is 1

Given Input Data is 976, 327, 392, 405

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 327 is 3 x 109

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 405 is 3 x 3 x 3 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(976, 327) = 319152

GCD(976, 327) = ( 976 x 327 ) / 319152

GCD(976, 327) = 319152 / 319152

GCD(976, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 976, 327, 392, 405 is 1

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1. What is the GCD of 976, 327, 392, 405?

GCD of 976, 327, 392, 405 is 1

2. Where do I get the detailed procedure to find GCD of 976, 327, 392, 405?

You can find a detailed procedure to find GCD of 976, 327, 392, 405 on our page.

3. How to find GCD of 976, 327, 392, 405 on a calculator?

You can find the GCD of 976, 327, 392, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.