GCD of 518, 462, 981, 908 Calculator

Given Input numbers are 518, 462, 981, 908

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

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 518, 462, 981, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 462, 981, 908 is 1.

Therefore, GCD of numbers 518, 462, 981, 908 is 1

Given Input Data is 518, 462, 981, 908

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 981 is 3 x 3 x 109

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(518, 462) = 17094

GCD(518, 462) = ( 518 x 462 ) / 17094

GCD(518, 462) = 239316 / 17094

GCD(518, 462) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 981

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

LCM(14, 981) = 13734

GCD(14, 981) = ( 14 x 981 ) / 13734

GCD(14, 981) = 13734 / 13734

GCD(14, 981) = 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 518, 462, 981, 908 is 1

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1. What is the GCD of 518, 462, 981, 908?

GCD of 518, 462, 981, 908 is 1

2. Where do I get the detailed procedure to find GCD of 518, 462, 981, 908?

You can find a detailed procedure to find GCD of 518, 462, 981, 908 on our page.

3. How to find GCD of 518, 462, 981, 908 on a calculator?

You can find the GCD of 518, 462, 981, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.