GCD of 708, 238, 107 Calculator

Given Input numbers are 708, 238, 107

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 708, 238, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 238, 107 is 1.

Therefore, GCD of numbers 708, 238, 107 is 1

Given Input Data is 708, 238, 107

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 107 is 107

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(708, 238) = 84252

GCD(708, 238) = ( 708 x 238 ) / 84252

GCD(708, 238) = 168504 / 84252

GCD(708, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 708, 238, 107 is 1

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1. What is the GCD of 708, 238, 107?

GCD of 708, 238, 107 is 1

2. Where do I get the detailed procedure to find GCD of 708, 238, 107?

You can find a detailed procedure to find GCD of 708, 238, 107 on our page.

3. How to find GCD of 708, 238, 107 on a calculator?

You can find the GCD of 708, 238, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.