GCD of 398, 587, 82, 434 Calculator

Given Input numbers are 398, 587, 82, 434

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 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 398, 587, 82, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 587, 82, 434 is 1.

Therefore, GCD of numbers 398, 587, 82, 434 is 1

Given Input Data is 398, 587, 82, 434

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 587 is 587

Prime Factorization of 82 is 2 x 41

Prime Factorization of 434 is 2 x 7 x 31

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, 587) = 233626

GCD(398, 587) = ( 398 x 587 ) / 233626

GCD(398, 587) = 233626 / 233626

GCD(398, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 398, 587, 82, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 512, 22, 998
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• GCD of 705, 370, 48, 976
• GCD of 195, 739, 95, 213
• GCD of 866, 149, 35, 362

1. What is the GCD of 398, 587, 82, 434?

GCD of 398, 587, 82, 434 is 1

2. Where do I get the detailed procedure to find GCD of 398, 587, 82, 434?

You can find a detailed procedure to find GCD of 398, 587, 82, 434 on our page.

3. How to find GCD of 398, 587, 82, 434 on a calculator?

You can find the GCD of 398, 587, 82, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.