GCD of 704, 298, 233, 485 Calculator

Given Input numbers are 704, 298, 233, 485

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 704, 298, 233, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 298, 233, 485 is 1.

Therefore, GCD of numbers 704, 298, 233, 485 is 1

Given Input Data is 704, 298, 233, 485

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 298 is 2 x 149

Prime Factorization of 233 is 233

Prime Factorization of 485 is 5 x 97

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, 298) = 104896

GCD(704, 298) = ( 704 x 298 ) / 104896

GCD(704, 298) = 209792 / 104896

GCD(704, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 233

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

LCM(2, 233) = 466

GCD(2, 233) = ( 2 x 233 ) / 466

GCD(2, 233) = 466 / 466

GCD(2, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 485

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

LCM(1, 485) = 485

GCD(1, 485) = ( 1 x 485 ) / 485

GCD(1, 485) = 485 / 485

GCD(1, 485) = 1

GCD of 704, 298, 233, 485 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 254, 262, 446
• GCD of 692, 968, 290, 733
• GCD of 554, 375, 460, 529
• GCD of 280, 445, 818, 673
• GCD of 885, 126, 695, 890

1. What is the GCD of 704, 298, 233, 485?

GCD of 704, 298, 233, 485 is 1

2. Where do I get the detailed procedure to find GCD of 704, 298, 233, 485?

You can find a detailed procedure to find GCD of 704, 298, 233, 485 on our page.

3. How to find GCD of 704, 298, 233, 485 on a calculator?

You can find the GCD of 704, 298, 233, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.