GCD of 398, 426, 232, 665 Calculator

Given Input numbers are 398, 426, 232, 665

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 398, 426, 232, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 426, 232, 665 is 1.

Therefore, GCD of numbers 398, 426, 232, 665 is 1

Given Input Data is 398, 426, 232, 665

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 665 is 5 x 7 x 19

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, 426) = 84774

GCD(398, 426) = ( 398 x 426 ) / 84774

GCD(398, 426) = 169548 / 84774

GCD(398, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

GCD of 398, 426, 232, 665 is 1

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1. What is the GCD of 398, 426, 232, 665?

GCD of 398, 426, 232, 665 is 1

2. Where do I get the detailed procedure to find GCD of 398, 426, 232, 665?

You can find a detailed procedure to find GCD of 398, 426, 232, 665 on our page.

3. How to find GCD of 398, 426, 232, 665 on a calculator?

You can find the GCD of 398, 426, 232, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.