GCD of 459, 981, 586, 632 Calculator

Given Input numbers are 459, 981, 586, 632

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 459, 981, 586, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 981, 586, 632 is 1.

Therefore, GCD of numbers 459, 981, 586, 632 is 1

Given Input Data is 459, 981, 586, 632

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 586 is 2 x 293

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(459, 981) = 50031

GCD(459, 981) = ( 459 x 981 ) / 50031

GCD(459, 981) = 450279 / 50031

GCD(459, 981) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 586

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

LCM(9, 586) = 5274

GCD(9, 586) = ( 9 x 586 ) / 5274

GCD(9, 586) = 5274 / 5274

GCD(9, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 459, 981, 586, 632 is 1

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1. What is the GCD of 459, 981, 586, 632?

GCD of 459, 981, 586, 632 is 1

2. Where do I get the detailed procedure to find GCD of 459, 981, 586, 632?

You can find a detailed procedure to find GCD of 459, 981, 586, 632 on our page.

3. How to find GCD of 459, 981, 586, 632 on a calculator?

You can find the GCD of 459, 981, 586, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.