GCD of 852, 646, 209, 558 Calculator

Given Input numbers are 852, 646, 209, 558

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 852, 646, 209, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 646, 209, 558 is 1.

Therefore, GCD of numbers 852, 646, 209, 558 is 1

Given Input Data is 852, 646, 209, 558

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 209 is 11 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(852, 646) = 275196

GCD(852, 646) = ( 852 x 646 ) / 275196

GCD(852, 646) = 550392 / 275196

GCD(852, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 852, 646, 209, 558 is 1

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1. What is the GCD of 852, 646, 209, 558?

GCD of 852, 646, 209, 558 is 1

2. Where do I get the detailed procedure to find GCD of 852, 646, 209, 558?

You can find a detailed procedure to find GCD of 852, 646, 209, 558 on our page.

3. How to find GCD of 852, 646, 209, 558 on a calculator?

You can find the GCD of 852, 646, 209, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.