GCD of 412, 730, 46, 406 Calculator

Given Input numbers are 412, 730, 46, 406

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 412, 730, 46, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 730, 46, 406 is 2.

Therefore, GCD of numbers 412, 730, 46, 406 is 2

Given Input Data is 412, 730, 46, 406

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 46 is 2 x 23

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(412, 730) = 150380

GCD(412, 730) = ( 412 x 730 ) / 150380

GCD(412, 730) = 300760 / 150380

GCD(412, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 412, 730, 46, 406 is 2

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1. What is the GCD of 412, 730, 46, 406?

GCD of 412, 730, 46, 406 is 2

2. Where do I get the detailed procedure to find GCD of 412, 730, 46, 406?

You can find a detailed procedure to find GCD of 412, 730, 46, 406 on our page.

3. How to find GCD of 412, 730, 46, 406 on a calculator?

You can find the GCD of 412, 730, 46, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.