GCD of 398, 444, 59, 436 Calculator

Given Input numbers are 398, 444, 59, 436

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 398, 444, 59, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 444, 59, 436 is 1.

Therefore, GCD of numbers 398, 444, 59, 436 is 1

Given Input Data is 398, 444, 59, 436

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 59 is 59

Prime Factorization of 436 is 2 x 2 x 109

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(398, 444) = 88356

GCD(398, 444) = ( 398 x 444 ) / 88356

GCD(398, 444) = 176712 / 88356

GCD(398, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 398, 444, 59, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 977, 44, 606
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• GCD of 389, 685, 74, 925

1. What is the GCD of 398, 444, 59, 436?

GCD of 398, 444, 59, 436 is 1

2. Where do I get the detailed procedure to find GCD of 398, 444, 59, 436?

You can find a detailed procedure to find GCD of 398, 444, 59, 436 on our page.

3. How to find GCD of 398, 444, 59, 436 on a calculator?

You can find the GCD of 398, 444, 59, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.