GCD of 408, 361, 331, 724 Calculator

Given Input numbers are 408, 361, 331, 724

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 408, 361, 331, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 361, 331, 724 is 1.

Therefore, GCD of numbers 408, 361, 331, 724 is 1

Given Input Data is 408, 361, 331, 724

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 331 is 331

Prime Factorization of 724 is 2 x 2 x 181

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(408, 361) = 147288

GCD(408, 361) = ( 408 x 361 ) / 147288

GCD(408, 361) = 147288 / 147288

GCD(408, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 408, 361, 331, 724 is 1

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1. What is the GCD of 408, 361, 331, 724?

GCD of 408, 361, 331, 724 is 1

2. Where do I get the detailed procedure to find GCD of 408, 361, 331, 724?

You can find a detailed procedure to find GCD of 408, 361, 331, 724 on our page.

3. How to find GCD of 408, 361, 331, 724 on a calculator?

You can find the GCD of 408, 361, 331, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.