GCD of 136, 505, 51, 230 Calculator

Given Input numbers are 136, 505, 51, 230

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 136, 505, 51, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 505, 51, 230 is 1.

Therefore, GCD of numbers 136, 505, 51, 230 is 1

Given Input Data is 136, 505, 51, 230

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 505 is 5 x 101

Prime Factorization of 51 is 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(136, 505) = 68680

GCD(136, 505) = ( 136 x 505 ) / 68680

GCD(136, 505) = 68680 / 68680

GCD(136, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 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 136, 505, 51, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 715, 52, 613
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• GCD of 392, 310, 60, 906
• GCD of 970, 113, 37, 340

1. What is the GCD of 136, 505, 51, 230?

GCD of 136, 505, 51, 230 is 1

2. Where do I get the detailed procedure to find GCD of 136, 505, 51, 230?

You can find a detailed procedure to find GCD of 136, 505, 51, 230 on our page.

3. How to find GCD of 136, 505, 51, 230 on a calculator?

You can find the GCD of 136, 505, 51, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.