GCD of 17, 486, 959, 908 Calculator

Given Input numbers are 17, 486, 959, 908

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 908

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

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 17, 486, 959, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 486, 959, 908 is 1.

Therefore, GCD of numbers 17, 486, 959, 908 is 1

Given Input Data is 17, 486, 959, 908

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

Prime Factorization of 17 is 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 959 is 7 x 137

Prime Factorization of 908 is 2 x 2 x 227

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(17, 486) = 8262

GCD(17, 486) = ( 17 x 486 ) / 8262

GCD(17, 486) = 8262 / 8262

GCD(17, 486) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 17, 486, 959, 908 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 842, 300, 253
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• GCD of 26, 976, 442, 492
• GCD of 82, 494, 387, 662
• GCD of 62, 456, 194, 332

1. What is the GCD of 17, 486, 959, 908?

GCD of 17, 486, 959, 908 is 1

2. Where do I get the detailed procedure to find GCD of 17, 486, 959, 908?

You can find a detailed procedure to find GCD of 17, 486, 959, 908 on our page.

3. How to find GCD of 17, 486, 959, 908 on a calculator?

You can find the GCD of 17, 486, 959, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.