GCD of 355, 407, 318, 231 Calculator

Given Input numbers are 355, 407, 318, 231

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 318

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

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 355, 407, 318, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 407, 318, 231 is 1.

Therefore, GCD of numbers 355, 407, 318, 231 is 1

Given Input Data is 355, 407, 318, 231

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 407 is 11 x 37

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 231 is 3 x 7 x 11

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(355, 407) = 144485

GCD(355, 407) = ( 355 x 407 ) / 144485

GCD(355, 407) = 144485 / 144485

GCD(355, 407) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 355, 407, 318, 231 is 1

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1. What is the GCD of 355, 407, 318, 231?

GCD of 355, 407, 318, 231 is 1

2. Where do I get the detailed procedure to find GCD of 355, 407, 318, 231?

You can find a detailed procedure to find GCD of 355, 407, 318, 231 on our page.

3. How to find GCD of 355, 407, 318, 231 on a calculator?

You can find the GCD of 355, 407, 318, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.