GCD of 308, 278, 230, 117 Calculator

Given Input numbers are 308, 278, 230, 117

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 308, 278, 230, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 278, 230, 117 is 1.

Therefore, GCD of numbers 308, 278, 230, 117 is 1

Given Input Data is 308, 278, 230, 117

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 278 is 2 x 139

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 117 is 3 x 3 x 13

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(308, 278) = 42812

GCD(308, 278) = ( 308 x 278 ) / 42812

GCD(308, 278) = 85624 / 42812

GCD(308, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 308, 278, 230, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 419, 514, 441
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• GCD of 547, 352, 214, 781

1. What is the GCD of 308, 278, 230, 117?

GCD of 308, 278, 230, 117 is 1

2. Where do I get the detailed procedure to find GCD of 308, 278, 230, 117?

You can find a detailed procedure to find GCD of 308, 278, 230, 117 on our page.

3. How to find GCD of 308, 278, 230, 117 on a calculator?

You can find the GCD of 308, 278, 230, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.