GCD of 106, 631, 180 Calculator

Given Input numbers are 106, 631, 180

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 106, 631, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 631, 180 is 1.

Therefore, GCD of numbers 106, 631, 180 is 1

Given Input Data is 106, 631, 180

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 631 is 631

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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, 631) = 66886

GCD(106, 631) = ( 106 x 631 ) / 66886

GCD(106, 631) = 66886 / 66886

GCD(106, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 106, 631, 180 is 1

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1. What is the GCD of 106, 631, 180?

GCD of 106, 631, 180 is 1

2. Where do I get the detailed procedure to find GCD of 106, 631, 180?

You can find a detailed procedure to find GCD of 106, 631, 180 on our page.

3. How to find GCD of 106, 631, 180 on a calculator?

You can find the GCD of 106, 631, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.