GCD of 399, 693, 226, 366 Calculator

Given Input numbers are 399, 693, 226, 366

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 399, 693, 226, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 693, 226, 366 is 1.

Therefore, GCD of numbers 399, 693, 226, 366 is 1

Given Input Data is 399, 693, 226, 366

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 226 is 2 x 113

Prime Factorization of 366 is 2 x 3 x 61

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(399, 693) = 13167

GCD(399, 693) = ( 399 x 693 ) / 13167

GCD(399, 693) = 276507 / 13167

GCD(399, 693) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 226

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

LCM(21, 226) = 4746

GCD(21, 226) = ( 21 x 226 ) / 4746

GCD(21, 226) = 4746 / 4746

GCD(21, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 399, 693, 226, 366 is 1

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1. What is the GCD of 399, 693, 226, 366?

GCD of 399, 693, 226, 366 is 1

2. Where do I get the detailed procedure to find GCD of 399, 693, 226, 366?

You can find a detailed procedure to find GCD of 399, 693, 226, 366 on our page.

3. How to find GCD of 399, 693, 226, 366 on a calculator?

You can find the GCD of 399, 693, 226, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.