GCD of 416, 634, 13, 474 Calculator

Given Input numbers are 416, 634, 13, 474

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 13

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

1, 13

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 416, 634, 13, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 634, 13, 474 is 1.

Therefore, GCD of numbers 416, 634, 13, 474 is 1

Given Input Data is 416, 634, 13, 474

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 634 is 2 x 317

Prime Factorization of 13 is 13

Prime Factorization of 474 is 2 x 3 x 79

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(416, 634) = 131872

GCD(416, 634) = ( 416 x 634 ) / 131872

GCD(416, 634) = 263744 / 131872

GCD(416, 634) = 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 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 416, 634, 13, 474 is 1

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1. What is the GCD of 416, 634, 13, 474?

GCD of 416, 634, 13, 474 is 1

2. Where do I get the detailed procedure to find GCD of 416, 634, 13, 474?

You can find a detailed procedure to find GCD of 416, 634, 13, 474 on our page.

3. How to find GCD of 416, 634, 13, 474 on a calculator?

You can find the GCD of 416, 634, 13, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.