GCD of 489, 521, 782, 963 Calculator

Given Input numbers are 489, 521, 782, 963

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 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 489, 521, 782, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 521, 782, 963 is 1.

Therefore, GCD of numbers 489, 521, 782, 963 is 1

Given Input Data is 489, 521, 782, 963

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 521 is 521

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 963 is 3 x 3 x 107

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, 521) = 254769

GCD(489, 521) = ( 489 x 521 ) / 254769

GCD(489, 521) = 254769 / 254769

GCD(489, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 489, 521, 782, 963 is 1

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1. What is the GCD of 489, 521, 782, 963?

GCD of 489, 521, 782, 963 is 1

2. Where do I get the detailed procedure to find GCD of 489, 521, 782, 963?

You can find a detailed procedure to find GCD of 489, 521, 782, 963 on our page.

3. How to find GCD of 489, 521, 782, 963 on a calculator?

You can find the GCD of 489, 521, 782, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.