GCD of 308, 606, 153, 230 Calculator

Given Input numbers are 308, 606, 153, 230

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 230

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

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

Greatest Common Divisior

We found the divisors of 308, 606, 153, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 606, 153, 230 is 1.

Therefore, GCD of numbers 308, 606, 153, 230 is 1

Given Input Data is 308, 606, 153, 230

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 606 is 2 x 3 x 101

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 230 is 2 x 5 x 23

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, 606) = 93324

GCD(308, 606) = ( 308 x 606 ) / 93324

GCD(308, 606) = 186648 / 93324

GCD(308, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 308, 606, 153, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 753, 743, 965
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1. What is the GCD of 308, 606, 153, 230?

GCD of 308, 606, 153, 230 is 1

2. Where do I get the detailed procedure to find GCD of 308, 606, 153, 230?

You can find a detailed procedure to find GCD of 308, 606, 153, 230 on our page.

3. How to find GCD of 308, 606, 153, 230 on a calculator?

You can find the GCD of 308, 606, 153, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.