GCD of 704, 576, 877, 633 Calculator

Given Input numbers are 704, 576, 877, 633

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 704, 576, 877, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 576, 877, 633 is 1.

Therefore, GCD of numbers 704, 576, 877, 633 is 1

Given Input Data is 704, 576, 877, 633

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 877 is 877

Prime Factorization of 633 is 3 x 211

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, 576) = 6336

GCD(704, 576) = ( 704 x 576 ) / 6336

GCD(704, 576) = 405504 / 6336

GCD(704, 576) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 877

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

LCM(64, 877) = 56128

GCD(64, 877) = ( 64 x 877 ) / 56128

GCD(64, 877) = 56128 / 56128

GCD(64, 877) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 704, 576, 877, 633 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 182, 985, 265
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• GCD of 501, 691, 790, 142

1. What is the GCD of 704, 576, 877, 633?

GCD of 704, 576, 877, 633 is 1

2. Where do I get the detailed procedure to find GCD of 704, 576, 877, 633?

You can find a detailed procedure to find GCD of 704, 576, 877, 633 on our page.

3. How to find GCD of 704, 576, 877, 633 on a calculator?

You can find the GCD of 704, 576, 877, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.