GCD of 374, 406, 13, 698 Calculator

Given Input numbers are 374, 406, 13, 698

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 374, 406, 13, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 406, 13, 698 is 1.

Therefore, GCD of numbers 374, 406, 13, 698 is 1

Given Input Data is 374, 406, 13, 698

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 13 is 13

Prime Factorization of 698 is 2 x 349

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(374, 406) = 75922

GCD(374, 406) = ( 374 x 406 ) / 75922

GCD(374, 406) = 151844 / 75922

GCD(374, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 374, 406, 13, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 764, 33, 598
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• GCD of 732, 540, 69, 415

1. What is the GCD of 374, 406, 13, 698?

GCD of 374, 406, 13, 698 is 1

2. Where do I get the detailed procedure to find GCD of 374, 406, 13, 698?

You can find a detailed procedure to find GCD of 374, 406, 13, 698 on our page.

3. How to find GCD of 374, 406, 13, 698 on a calculator?

You can find the GCD of 374, 406, 13, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.