GCD of 409, 908, 489, 968 Calculator

Given Input numbers are 409, 908, 489, 968

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 409, 908, 489, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 908, 489, 968 is 1.

Therefore, GCD of numbers 409, 908, 489, 968 is 1

Given Input Data is 409, 908, 489, 968

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

Prime Factorization of 409 is 409

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 489 is 3 x 163

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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, 908) = 371372

GCD(409, 908) = ( 409 x 908 ) / 371372

GCD(409, 908) = 371372 / 371372

GCD(409, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 409, 908, 489, 968 is 1

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• GCD of 796, 877, 868, 499
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• GCD of 940, 940, 686, 111
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1. What is the GCD of 409, 908, 489, 968?

GCD of 409, 908, 489, 968 is 1

2. Where do I get the detailed procedure to find GCD of 409, 908, 489, 968?

You can find a detailed procedure to find GCD of 409, 908, 489, 968 on our page.

3. How to find GCD of 409, 908, 489, 968 on a calculator?

You can find the GCD of 409, 908, 489, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.