GCD of 230, 282, 65, 703 Calculator

Given Input numbers are 230, 282, 65, 703

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 230, 282, 65, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 282, 65, 703 is 1.

Therefore, GCD of numbers 230, 282, 65, 703 is 1

Given Input Data is 230, 282, 65, 703

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 65 is 5 x 13

Prime Factorization of 703 is 19 x 37

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(230, 282) = 32430

GCD(230, 282) = ( 230 x 282 ) / 32430

GCD(230, 282) = 64860 / 32430

GCD(230, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 230, 282, 65, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 933, 19, 952
• GCD of 168, 325, 27, 825
• GCD of 112, 142, 98, 406
• GCD of 139, 361, 89, 381
• GCD of 778, 325, 74, 491

1. What is the GCD of 230, 282, 65, 703?

GCD of 230, 282, 65, 703 is 1

2. Where do I get the detailed procedure to find GCD of 230, 282, 65, 703?

You can find a detailed procedure to find GCD of 230, 282, 65, 703 on our page.

3. How to find GCD of 230, 282, 65, 703 on a calculator?

You can find the GCD of 230, 282, 65, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.