GCD of 213, 671, 108 Calculator

Given Input numbers are 213, 671, 108

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

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

Greatest Common Divisior

We found the divisors of 213, 671, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 671, 108 is 1.

Therefore, GCD of numbers 213, 671, 108 is 1

Given Input Data is 213, 671, 108

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 671 is 11 x 61

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

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(213, 671) = 142923

GCD(213, 671) = ( 213 x 671 ) / 142923

GCD(213, 671) = 142923 / 142923

GCD(213, 671) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 213, 671, 108 is 1

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1. What is the GCD of 213, 671, 108?

GCD of 213, 671, 108 is 1

2. Where do I get the detailed procedure to find GCD of 213, 671, 108?

You can find a detailed procedure to find GCD of 213, 671, 108 on our page.

3. How to find GCD of 213, 671, 108 on a calculator?

You can find the GCD of 213, 671, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.