GCD of 337, 579, 320, 704 Calculator

Given Input numbers are 337, 579, 320, 704

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

Greatest Common Divisior

We found the divisors of 337, 579, 320, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 579, 320, 704 is 1.

Therefore, GCD of numbers 337, 579, 320, 704 is 1

Given Input Data is 337, 579, 320, 704

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

Prime Factorization of 337 is 337

Prime Factorization of 579 is 3 x 193

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(337, 579) = 195123

GCD(337, 579) = ( 337 x 579 ) / 195123

GCD(337, 579) = 195123 / 195123

GCD(337, 579) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 337, 579, 320, 704 is 1

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1. What is the GCD of 337, 579, 320, 704?

GCD of 337, 579, 320, 704 is 1

2. Where do I get the detailed procedure to find GCD of 337, 579, 320, 704?

You can find a detailed procedure to find GCD of 337, 579, 320, 704 on our page.

3. How to find GCD of 337, 579, 320, 704 on a calculator?

You can find the GCD of 337, 579, 320, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.