GCD of 406, 814, 149, 338 Calculator

Given Input numbers are 406, 814, 149, 338

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 406, 814, 149, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 814, 149, 338 is 1.

Therefore, GCD of numbers 406, 814, 149, 338 is 1

Given Input Data is 406, 814, 149, 338

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 814 is 2 x 11 x 37

Prime Factorization of 149 is 149

Prime Factorization of 338 is 2 x 13 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, 814) = 165242

GCD(406, 814) = ( 406 x 814 ) / 165242

GCD(406, 814) = 330484 / 165242

GCD(406, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 406, 814, 149, 338 is 1

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1. What is the GCD of 406, 814, 149, 338?

GCD of 406, 814, 149, 338 is 1

2. Where do I get the detailed procedure to find GCD of 406, 814, 149, 338?

You can find a detailed procedure to find GCD of 406, 814, 149, 338 on our page.

3. How to find GCD of 406, 814, 149, 338 on a calculator?

You can find the GCD of 406, 814, 149, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.