GCD of 646, 990, 84, 894 Calculator

Given Input numbers are 646, 990, 84, 894

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

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 646, 990, 84, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 990, 84, 894 is 2.

Therefore, GCD of numbers 646, 990, 84, 894 is 2

Given Input Data is 646, 990, 84, 894

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(646, 990) = 319770

GCD(646, 990) = ( 646 x 990 ) / 319770

GCD(646, 990) = 639540 / 319770

GCD(646, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 646, 990, 84, 894 is 2

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1. What is the GCD of 646, 990, 84, 894?

GCD of 646, 990, 84, 894 is 2

2. Where do I get the detailed procedure to find GCD of 646, 990, 84, 894?

You can find a detailed procedure to find GCD of 646, 990, 84, 894 on our page.

3. How to find GCD of 646, 990, 84, 894 on a calculator?

You can find the GCD of 646, 990, 84, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.