GCD of 210, 446, 108 Calculator

Given Input numbers are 210, 446, 108

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 446

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

1, 2, 223, 446

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 210, 446, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 446, 108 is 2.

Therefore, GCD of numbers 210, 446, 108 is 2

Given Input Data is 210, 446, 108

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 446 is 2 x 223

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(210, 446) = 46830

GCD(210, 446) = ( 210 x 446 ) / 46830

GCD(210, 446) = 93660 / 46830

GCD(210, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 210, 446, 108 is 2

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1. What is the GCD of 210, 446, 108?

GCD of 210, 446, 108 is 2

2. Where do I get the detailed procedure to find GCD of 210, 446, 108?

You can find a detailed procedure to find GCD of 210, 446, 108 on our page.

3. How to find GCD of 210, 446, 108 on a calculator?

You can find the GCD of 210, 446, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.