GCD of 704, 894, 165 Calculator

Given Input numbers are 704, 894, 165

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 704, 894, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 894, 165 is 1.

Therefore, GCD of numbers 704, 894, 165 is 1

Given Input Data is 704, 894, 165

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 165 is 3 x 5 x 11

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(704, 894) = 314688

GCD(704, 894) = ( 704 x 894 ) / 314688

GCD(704, 894) = 629376 / 314688

GCD(704, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 165

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

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

GCD(2, 165) = 330 / 330

GCD(2, 165) = 1

GCD of 704, 894, 165 is 1

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1. What is the GCD of 704, 894, 165?

GCD of 704, 894, 165 is 1

2. Where do I get the detailed procedure to find GCD of 704, 894, 165?

You can find a detailed procedure to find GCD of 704, 894, 165 on our page.

3. How to find GCD of 704, 894, 165 on a calculator?

You can find the GCD of 704, 894, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.