GCD of 106, 103, 684 Calculator

Given Input numbers are 106, 103, 684

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 106, 103, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 103, 684 is 1.

Therefore, GCD of numbers 106, 103, 684 is 1

Given Input Data is 106, 103, 684

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 103 is 103

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(106, 103) = 10918

GCD(106, 103) = ( 106 x 103 ) / 10918

GCD(106, 103) = 10918 / 10918

GCD(106, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 106, 103, 684 is 1

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1. What is the GCD of 106, 103, 684?

GCD of 106, 103, 684 is 1

2. Where do I get the detailed procedure to find GCD of 106, 103, 684?

You can find a detailed procedure to find GCD of 106, 103, 684 on our page.

3. How to find GCD of 106, 103, 684 on a calculator?

You can find the GCD of 106, 103, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.