GCD of 409, 371, 759, 398 Calculator

Given Input numbers are 409, 371, 759, 398

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 409, 371, 759, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 371, 759, 398 is 1.

Therefore, GCD of numbers 409, 371, 759, 398 is 1

Given Input Data is 409, 371, 759, 398

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

Prime Factorization of 409 is 409

Prime Factorization of 371 is 7 x 53

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 398 is 2 x 199

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(409, 371) = 151739

GCD(409, 371) = ( 409 x 371 ) / 151739

GCD(409, 371) = 151739 / 151739

GCD(409, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 409, 371, 759, 398 is 1

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1. What is the GCD of 409, 371, 759, 398?

GCD of 409, 371, 759, 398 is 1

2. Where do I get the detailed procedure to find GCD of 409, 371, 759, 398?

You can find a detailed procedure to find GCD of 409, 371, 759, 398 on our page.

3. How to find GCD of 409, 371, 759, 398 on a calculator?

You can find the GCD of 409, 371, 759, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.