GCD of 305, 644, 238, 688 Calculator

Given Input numbers are 305, 644, 238, 688

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 305, 644, 238, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 644, 238, 688 is 1.

Therefore, GCD of numbers 305, 644, 238, 688 is 1

Given Input Data is 305, 644, 238, 688

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(305, 644) = 196420

GCD(305, 644) = ( 305 x 644 ) / 196420

GCD(305, 644) = 196420 / 196420

GCD(305, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 305, 644, 238, 688 is 1

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1. What is the GCD of 305, 644, 238, 688?

GCD of 305, 644, 238, 688 is 1

2. Where do I get the detailed procedure to find GCD of 305, 644, 238, 688?

You can find a detailed procedure to find GCD of 305, 644, 238, 688 on our page.

3. How to find GCD of 305, 644, 238, 688 on a calculator?

You can find the GCD of 305, 644, 238, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.