GCD of 848, 130, 723, 489 Calculator

Given Input numbers are 848, 130, 723, 489

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 848, 130, 723, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 130, 723, 489 is 1.

Therefore, GCD of numbers 848, 130, 723, 489 is 1

Given Input Data is 848, 130, 723, 489

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 723 is 3 x 241

Prime Factorization of 489 is 3 x 163

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(848, 130) = 55120

GCD(848, 130) = ( 848 x 130 ) / 55120

GCD(848, 130) = 110240 / 55120

GCD(848, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 848, 130, 723, 489 is 1

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1. What is the GCD of 848, 130, 723, 489?

GCD of 848, 130, 723, 489 is 1

2. Where do I get the detailed procedure to find GCD of 848, 130, 723, 489?

You can find a detailed procedure to find GCD of 848, 130, 723, 489 on our page.

3. How to find GCD of 848, 130, 723, 489 on a calculator?

You can find the GCD of 848, 130, 723, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.