GCD of 230, 838, 136, 691 Calculator

Given Input numbers are 230, 838, 136, 691

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 230, 838, 136, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 838, 136, 691 is 1.

Therefore, GCD of numbers 230, 838, 136, 691 is 1

Given Input Data is 230, 838, 136, 691

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 838 is 2 x 419

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

Prime Factorization of 691 is 691

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, 838) = 96370

GCD(230, 838) = ( 230 x 838 ) / 96370

GCD(230, 838) = 192740 / 96370

GCD(230, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

GCD of 230, 838, 136, 691 is 1

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1. What is the GCD of 230, 838, 136, 691?

GCD of 230, 838, 136, 691 is 1

2. Where do I get the detailed procedure to find GCD of 230, 838, 136, 691?

You can find a detailed procedure to find GCD of 230, 838, 136, 691 on our page.

3. How to find GCD of 230, 838, 136, 691 on a calculator?

You can find the GCD of 230, 838, 136, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.