GCD of 704, 954, 204 Calculator

Given Input numbers are 704, 954, 204

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 704, 954, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 954, 204 is 2.

Therefore, GCD of numbers 704, 954, 204 is 2

Given Input Data is 704, 954, 204

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(704, 954) = 335808

GCD(704, 954) = ( 704 x 954 ) / 335808

GCD(704, 954) = 671616 / 335808

GCD(704, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 704, 954, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 821, 843
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• GCD of 318, 437, 578

1. What is the GCD of 704, 954, 204?

GCD of 704, 954, 204 is 2

2. Where do I get the detailed procedure to find GCD of 704, 954, 204?

You can find a detailed procedure to find GCD of 704, 954, 204 on our page.

3. How to find GCD of 704, 954, 204 on a calculator?

You can find the GCD of 704, 954, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.