GCD of 894, 198, 84, 679 Calculator

Given Input numbers are 894, 198, 84, 679

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

Divisors of 894

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

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 894, 198, 84, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 198, 84, 679 is 1.

Therefore, GCD of numbers 894, 198, 84, 679 is 1

Given Input Data is 894, 198, 84, 679

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 198 is 2 x 3 x 3 x 11

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

Prime Factorization of 679 is 7 x 97

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(894, 198) = 29502

GCD(894, 198) = ( 894 x 198 ) / 29502

GCD(894, 198) = 177012 / 29502

GCD(894, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 679

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

LCM(6, 679) = 4074

GCD(6, 679) = ( 6 x 679 ) / 4074

GCD(6, 679) = 4074 / 4074

GCD(6, 679) = 1

GCD of 894, 198, 84, 679 is 1

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1. What is the GCD of 894, 198, 84, 679?

GCD of 894, 198, 84, 679 is 1

2. Where do I get the detailed procedure to find GCD of 894, 198, 84, 679?

You can find a detailed procedure to find GCD of 894, 198, 84, 679 on our page.

3. How to find GCD of 894, 198, 84, 679 on a calculator?

You can find the GCD of 894, 198, 84, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.