GCD of 704, 568, 379, 579 Calculator

Given Input numbers are 704, 568, 379, 579

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 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 579

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

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 704, 568, 379, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 568, 379, 579 is 1.

Therefore, GCD of numbers 704, 568, 379, 579 is 1

Given Input Data is 704, 568, 379, 579

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 568 is 2 x 2 x 2 x 71

Prime Factorization of 379 is 379

Prime Factorization of 579 is 3 x 193

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, 568) = 49984

GCD(704, 568) = ( 704 x 568 ) / 49984

GCD(704, 568) = 399872 / 49984

GCD(704, 568) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 379

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

LCM(8, 379) = 3032

GCD(8, 379) = ( 8 x 379 ) / 3032

GCD(8, 379) = 3032 / 3032

GCD(8, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 704, 568, 379, 579 is 1

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1. What is the GCD of 704, 568, 379, 579?

GCD of 704, 568, 379, 579 is 1

2. Where do I get the detailed procedure to find GCD of 704, 568, 379, 579?

You can find a detailed procedure to find GCD of 704, 568, 379, 579 on our page.

3. How to find GCD of 704, 568, 379, 579 on a calculator?

You can find the GCD of 704, 568, 379, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.