GCD of 230, 368, 685, 275 Calculator

Given Input numbers are 230, 368, 685, 275

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 230, 368, 685, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 368, 685, 275 is 1.

Therefore, GCD of numbers 230, 368, 685, 275 is 1

Given Input Data is 230, 368, 685, 275

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 685 is 5 x 137

Prime Factorization of 275 is 5 x 5 x 11

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, 368) = 1840

GCD(230, 368) = ( 230 x 368 ) / 1840

GCD(230, 368) = 84640 / 1840

GCD(230, 368) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 685

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

LCM(46, 685) = 31510

GCD(46, 685) = ( 46 x 685 ) / 31510

GCD(46, 685) = 31510 / 31510

GCD(46, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 230, 368, 685, 275 is 1

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1. What is the GCD of 230, 368, 685, 275?

GCD of 230, 368, 685, 275 is 1

2. Where do I get the detailed procedure to find GCD of 230, 368, 685, 275?

You can find a detailed procedure to find GCD of 230, 368, 685, 275 on our page.

3. How to find GCD of 230, 368, 685, 275 on a calculator?

You can find the GCD of 230, 368, 685, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.