GCD of 421, 299, 366, 438 Calculator

Given Input numbers are 421, 299, 366, 438

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 366

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

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 421, 299, 366, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 299, 366, 438 is 1.

Therefore, GCD of numbers 421, 299, 366, 438 is 1

Given Input Data is 421, 299, 366, 438

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

Prime Factorization of 421 is 421

Prime Factorization of 299 is 13 x 23

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 438 is 2 x 3 x 73

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(421, 299) = 125879

GCD(421, 299) = ( 421 x 299 ) / 125879

GCD(421, 299) = 125879 / 125879

GCD(421, 299) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 421, 299, 366, 438 is 1

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1. What is the GCD of 421, 299, 366, 438?

GCD of 421, 299, 366, 438 is 1

2. Where do I get the detailed procedure to find GCD of 421, 299, 366, 438?

You can find a detailed procedure to find GCD of 421, 299, 366, 438 on our page.

3. How to find GCD of 421, 299, 366, 438 on a calculator?

You can find the GCD of 421, 299, 366, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.