GCD of 108, 686, 45, 239 Calculator

Given Input numbers are 108, 686, 45, 239

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 108, 686, 45, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 686, 45, 239 is 1.

Therefore, GCD of numbers 108, 686, 45, 239 is 1

Given Input Data is 108, 686, 45, 239

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 239 is 239

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(108, 686) = 37044

GCD(108, 686) = ( 108 x 686 ) / 37044

GCD(108, 686) = 74088 / 37044

GCD(108, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 108, 686, 45, 239 is 1

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• GCD of 517, 568, 33, 139
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1. What is the GCD of 108, 686, 45, 239?

GCD of 108, 686, 45, 239 is 1

2. Where do I get the detailed procedure to find GCD of 108, 686, 45, 239?

You can find a detailed procedure to find GCD of 108, 686, 45, 239 on our page.

3. How to find GCD of 108, 686, 45, 239 on a calculator?

You can find the GCD of 108, 686, 45, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.