GCD of 704, 349, 904, 446 Calculator

Given Input numbers are 704, 349, 904, 446

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 704, 349, 904, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 349, 904, 446 is 1.

Therefore, GCD of numbers 704, 349, 904, 446 is 1

Given Input Data is 704, 349, 904, 446

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 349 is 349

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 446 is 2 x 223

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, 349) = 245696

GCD(704, 349) = ( 704 x 349 ) / 245696

GCD(704, 349) = 245696 / 245696

GCD(704, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 704, 349, 904, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 622, 822, 522
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• GCD of 470, 457, 901, 859

1. What is the GCD of 704, 349, 904, 446?

GCD of 704, 349, 904, 446 is 1

2. Where do I get the detailed procedure to find GCD of 704, 349, 904, 446?

You can find a detailed procedure to find GCD of 704, 349, 904, 446 on our page.

3. How to find GCD of 704, 349, 904, 446 on a calculator?

You can find the GCD of 704, 349, 904, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.