GCD of 398, 805, 660, 341 Calculator

Given Input numbers are 398, 805, 660, 341

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 398, 805, 660, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 805, 660, 341 is 1.

Therefore, GCD of numbers 398, 805, 660, 341 is 1

Given Input Data is 398, 805, 660, 341

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 341 is 11 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, 805) = 320390

GCD(398, 805) = ( 398 x 805 ) / 320390

GCD(398, 805) = 320390 / 320390

GCD(398, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 398, 805, 660, 341 is 1

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1. What is the GCD of 398, 805, 660, 341?

GCD of 398, 805, 660, 341 is 1

2. Where do I get the detailed procedure to find GCD of 398, 805, 660, 341?

You can find a detailed procedure to find GCD of 398, 805, 660, 341 on our page.

3. How to find GCD of 398, 805, 660, 341 on a calculator?

You can find the GCD of 398, 805, 660, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.