GCD of 489, 531, 958, 914 Calculator

Given Input numbers are 489, 531, 958, 914

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 489, 531, 958, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 531, 958, 914 is 1.

Therefore, GCD of numbers 489, 531, 958, 914 is 1

Given Input Data is 489, 531, 958, 914

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 958 is 2 x 479

Prime Factorization of 914 is 2 x 457

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(489, 531) = 86553

GCD(489, 531) = ( 489 x 531 ) / 86553

GCD(489, 531) = 259659 / 86553

GCD(489, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 958

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

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

GCD(3, 958) = 2874 / 2874

GCD(3, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 489, 531, 958, 914 is 1

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1. What is the GCD of 489, 531, 958, 914?

GCD of 489, 531, 958, 914 is 1

2. Where do I get the detailed procedure to find GCD of 489, 531, 958, 914?

You can find a detailed procedure to find GCD of 489, 531, 958, 914 on our page.

3. How to find GCD of 489, 531, 958, 914 on a calculator?

You can find the GCD of 489, 531, 958, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.