GCD of 635, 520, 416, 398 Calculator

Given Input numbers are 635, 520, 416, 398

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 635, 520, 416, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 520, 416, 398 is 1.

Therefore, GCD of numbers 635, 520, 416, 398 is 1

Given Input Data is 635, 520, 416, 398

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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

Prime Factorization of 398 is 2 x 199

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(635, 520) = 66040

GCD(635, 520) = ( 635 x 520 ) / 66040

GCD(635, 520) = 330200 / 66040

GCD(635, 520) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 416

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

LCM(5, 416) = 2080

GCD(5, 416) = ( 5 x 416 ) / 2080

GCD(5, 416) = 2080 / 2080

GCD(5, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 635, 520, 416, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 107, 583, 665
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1. What is the GCD of 635, 520, 416, 398?

GCD of 635, 520, 416, 398 is 1

2. Where do I get the detailed procedure to find GCD of 635, 520, 416, 398?

You can find a detailed procedure to find GCD of 635, 520, 416, 398 on our page.

3. How to find GCD of 635, 520, 416, 398 on a calculator?

You can find the GCD of 635, 520, 416, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.