GCD of 446, 882, 109 Calculator

Given Input numbers are 446, 882, 109

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 446, 882, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 882, 109 is 1.

Therefore, GCD of numbers 446, 882, 109 is 1

Given Input Data is 446, 882, 109

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 109 is 109

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(446, 882) = 196686

GCD(446, 882) = ( 446 x 882 ) / 196686

GCD(446, 882) = 393372 / 196686

GCD(446, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 446, 882, 109 is 1

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1. What is the GCD of 446, 882, 109?

GCD of 446, 882, 109 is 1

2. Where do I get the detailed procedure to find GCD of 446, 882, 109?

You can find a detailed procedure to find GCD of 446, 882, 109 on our page.

3. How to find GCD of 446, 882, 109 on a calculator?

You can find the GCD of 446, 882, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.