GCD of 409, 172, 508, 417 Calculator

Given Input numbers are 409, 172, 508, 417

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 409, 172, 508, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 172, 508, 417 is 1.

Therefore, GCD of numbers 409, 172, 508, 417 is 1

Given Input Data is 409, 172, 508, 417

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

Prime Factorization of 409 is 409

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 417 is 3 x 139

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, 172) = 70348

GCD(409, 172) = ( 409 x 172 ) / 70348

GCD(409, 172) = 70348 / 70348

GCD(409, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 409, 172, 508, 417 is 1

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1. What is the GCD of 409, 172, 508, 417?

GCD of 409, 172, 508, 417 is 1

2. Where do I get the detailed procedure to find GCD of 409, 172, 508, 417?

You can find a detailed procedure to find GCD of 409, 172, 508, 417 on our page.

3. How to find GCD of 409, 172, 508, 417 on a calculator?

You can find the GCD of 409, 172, 508, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.