GCD of 489, 870, 893, 848 Calculator

Given Input numbers are 489, 870, 893, 848

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

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

Greatest Common Divisior

We found the divisors of 489, 870, 893, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 870, 893, 848 is 1.

Therefore, GCD of numbers 489, 870, 893, 848 is 1

Given Input Data is 489, 870, 893, 848

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 893 is 19 x 47

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

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, 870) = 141810

GCD(489, 870) = ( 489 x 870 ) / 141810

GCD(489, 870) = 425430 / 141810

GCD(489, 870) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 893

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

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

GCD(3, 893) = 2679 / 2679

GCD(3, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 489, 870, 893, 848 is 1

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1. What is the GCD of 489, 870, 893, 848?

GCD of 489, 870, 893, 848 is 1

2. Where do I get the detailed procedure to find GCD of 489, 870, 893, 848?

You can find a detailed procedure to find GCD of 489, 870, 893, 848 on our page.

3. How to find GCD of 489, 870, 893, 848 on a calculator?

You can find the GCD of 489, 870, 893, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.