GCD of 704, 234, 56, 577 Calculator

Given Input numbers are 704, 234, 56, 577

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 704, 234, 56, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 234, 56, 577 is 1.

Therefore, GCD of numbers 704, 234, 56, 577 is 1

Given Input Data is 704, 234, 56, 577

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 577 is 577

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, 234) = 82368

GCD(704, 234) = ( 704 x 234 ) / 82368

GCD(704, 234) = 164736 / 82368

GCD(704, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

GCD of 704, 234, 56, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 805, 56, 342
• GCD of 769, 799, 15, 105
• GCD of 612, 303, 90, 147
• GCD of 862, 759, 69, 297
• GCD of 571, 656, 68, 780

1. What is the GCD of 704, 234, 56, 577?

GCD of 704, 234, 56, 577 is 1

2. Where do I get the detailed procedure to find GCD of 704, 234, 56, 577?

You can find a detailed procedure to find GCD of 704, 234, 56, 577 on our page.

3. How to find GCD of 704, 234, 56, 577 on a calculator?

You can find the GCD of 704, 234, 56, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.