GCD of 210, 327, 196 Calculator

Given Input numbers are 210, 327, 196

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 210, 327, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 327, 196 is 1.

Therefore, GCD of numbers 210, 327, 196 is 1

Given Input Data is 210, 327, 196

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 327 is 3 x 109

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(210, 327) = 22890

GCD(210, 327) = ( 210 x 327 ) / 22890

GCD(210, 327) = 68670 / 22890

GCD(210, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 196

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

LCM(3, 196) = 588

GCD(3, 196) = ( 3 x 196 ) / 588

GCD(3, 196) = 588 / 588

GCD(3, 196) = 1

GCD of 210, 327, 196 is 1

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1. What is the GCD of 210, 327, 196?

GCD of 210, 327, 196 is 1

2. Where do I get the detailed procedure to find GCD of 210, 327, 196?

You can find a detailed procedure to find GCD of 210, 327, 196 on our page.

3. How to find GCD of 210, 327, 196 on a calculator?

You can find the GCD of 210, 327, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.