GCD of 409, 428, 15, 635 Calculator

Given Input numbers are 409, 428, 15, 635

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 635

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

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 409, 428, 15, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 428, 15, 635 is 1.

Therefore, GCD of numbers 409, 428, 15, 635 is 1

Given Input Data is 409, 428, 15, 635

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

Prime Factorization of 409 is 409

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 15 is 3 x 5

Prime Factorization of 635 is 5 x 127

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(409, 428) = 175052

GCD(409, 428) = ( 409 x 428 ) / 175052

GCD(409, 428) = 175052 / 175052

GCD(409, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 409, 428, 15, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 755, 89, 664
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1. What is the GCD of 409, 428, 15, 635?

GCD of 409, 428, 15, 635 is 1

2. Where do I get the detailed procedure to find GCD of 409, 428, 15, 635?

You can find a detailed procedure to find GCD of 409, 428, 15, 635 on our page.

3. How to find GCD of 409, 428, 15, 635 on a calculator?

You can find the GCD of 409, 428, 15, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.