GCD of 704, 437, 297 Calculator

Given Input numbers are 704, 437, 297

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 704, 437, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 437, 297 is 1.

Therefore, GCD of numbers 704, 437, 297 is 1

Given Input Data is 704, 437, 297

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 437 is 19 x 23

Prime Factorization of 297 is 3 x 3 x 3 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, 437) = 307648

GCD(704, 437) = ( 704 x 437 ) / 307648

GCD(704, 437) = 307648 / 307648

GCD(704, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 704, 437, 297 is 1

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1. What is the GCD of 704, 437, 297?

GCD of 704, 437, 297 is 1

2. Where do I get the detailed procedure to find GCD of 704, 437, 297?

You can find a detailed procedure to find GCD of 704, 437, 297 on our page.

3. How to find GCD of 704, 437, 297 on a calculator?

You can find the GCD of 704, 437, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.