GCD of 489, 669, 854, 853 Calculator

Given Input numbers are 489, 669, 854, 853

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 489, 669, 854, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 669, 854, 853 is 1.

Therefore, GCD of numbers 489, 669, 854, 853 is 1

Given Input Data is 489, 669, 854, 853

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 669 is 3 x 223

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 853 is 853

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, 669) = 109047

GCD(489, 669) = ( 489 x 669 ) / 109047

GCD(489, 669) = 327141 / 109047

GCD(489, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 854

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

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

GCD(3, 854) = 2562 / 2562

GCD(3, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 489, 669, 854, 853 is 1

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1. What is the GCD of 489, 669, 854, 853?

GCD of 489, 669, 854, 853 is 1

2. Where do I get the detailed procedure to find GCD of 489, 669, 854, 853?

You can find a detailed procedure to find GCD of 489, 669, 854, 853 on our page.

3. How to find GCD of 489, 669, 854, 853 on a calculator?

You can find the GCD of 489, 669, 854, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.