GCD of 894, 195, 385, 654 Calculator

Given Input numbers are 894, 195, 385, 654

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 894, 195, 385, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 195, 385, 654 is 1.

Therefore, GCD of numbers 894, 195, 385, 654 is 1

Given Input Data is 894, 195, 385, 654

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 195 is 3 x 5 x 13

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 654 is 2 x 3 x 109

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, 195) = 58110

GCD(894, 195) = ( 894 x 195 ) / 58110

GCD(894, 195) = 174330 / 58110

GCD(894, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 385

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

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

GCD(3, 385) = 1155 / 1155

GCD(3, 385) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 894, 195, 385, 654 is 1

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1. What is the GCD of 894, 195, 385, 654?

GCD of 894, 195, 385, 654 is 1

2. Where do I get the detailed procedure to find GCD of 894, 195, 385, 654?

You can find a detailed procedure to find GCD of 894, 195, 385, 654 on our page.

3. How to find GCD of 894, 195, 385, 654 on a calculator?

You can find the GCD of 894, 195, 385, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.