GCD of 406, 810, 671, 130 Calculator

Given Input numbers are 406, 810, 671, 130

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 406, 810, 671, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 810, 671, 130 is 1.

Therefore, GCD of numbers 406, 810, 671, 130 is 1

Given Input Data is 406, 810, 671, 130

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 671 is 11 x 61

Prime Factorization of 130 is 2 x 5 x 13

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(406, 810) = 164430

GCD(406, 810) = ( 406 x 810 ) / 164430

GCD(406, 810) = 328860 / 164430

GCD(406, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 406, 810, 671, 130 is 1

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1. What is the GCD of 406, 810, 671, 130?

GCD of 406, 810, 671, 130 is 1

2. Where do I get the detailed procedure to find GCD of 406, 810, 671, 130?

You can find a detailed procedure to find GCD of 406, 810, 671, 130 on our page.

3. How to find GCD of 406, 810, 671, 130 on a calculator?

You can find the GCD of 406, 810, 671, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.