GCD of 405, 824, 402, 318 Calculator

Given Input numbers are 405, 824, 402, 318

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

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 405, 824, 402, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 824, 402, 318 is 1.

Therefore, GCD of numbers 405, 824, 402, 318 is 1

Given Input Data is 405, 824, 402, 318

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

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 318 is 2 x 3 x 53

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(405, 824) = 333720

GCD(405, 824) = ( 405 x 824 ) / 333720

GCD(405, 824) = 333720 / 333720

GCD(405, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 405, 824, 402, 318 is 1

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1. What is the GCD of 405, 824, 402, 318?

GCD of 405, 824, 402, 318 is 1

2. Where do I get the detailed procedure to find GCD of 405, 824, 402, 318?

You can find a detailed procedure to find GCD of 405, 824, 402, 318 on our page.

3. How to find GCD of 405, 824, 402, 318 on a calculator?

You can find the GCD of 405, 824, 402, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.