GCD of 488, 105, 34, 422 Calculator

Given Input numbers are 488, 105, 34, 422

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 488, 105, 34, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 105, 34, 422 is 1.

Therefore, GCD of numbers 488, 105, 34, 422 is 1

Given Input Data is 488, 105, 34, 422

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 422 is 2 x 211

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(488, 105) = 51240

GCD(488, 105) = ( 488 x 105 ) / 51240

GCD(488, 105) = 51240 / 51240

GCD(488, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 488, 105, 34, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 316, 25, 921
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• GCD of 699, 489, 71, 296
• GCD of 784, 251, 78, 824
• GCD of 667, 271, 60, 710

1. What is the GCD of 488, 105, 34, 422?

GCD of 488, 105, 34, 422 is 1

2. Where do I get the detailed procedure to find GCD of 488, 105, 34, 422?

You can find a detailed procedure to find GCD of 488, 105, 34, 422 on our page.

3. How to find GCD of 488, 105, 34, 422 on a calculator?

You can find the GCD of 488, 105, 34, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.