GCD of 198, 447, 62, 322 Calculator

Given Input numbers are 198, 447, 62, 322

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 198, 447, 62, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 447, 62, 322 is 1.

Therefore, GCD of numbers 198, 447, 62, 322 is 1

Given Input Data is 198, 447, 62, 322

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 447 is 3 x 149

Prime Factorization of 62 is 2 x 31

Prime Factorization of 322 is 2 x 7 x 23

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(198, 447) = 29502

GCD(198, 447) = ( 198 x 447 ) / 29502

GCD(198, 447) = 88506 / 29502

GCD(198, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 62

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

LCM(3, 62) = 186

GCD(3, 62) = ( 3 x 62 ) / 186

GCD(3, 62) = 186 / 186

GCD(3, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 198, 447, 62, 322 is 1

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• GCD of 596, 980, 64, 987
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1. What is the GCD of 198, 447, 62, 322?

GCD of 198, 447, 62, 322 is 1

2. Where do I get the detailed procedure to find GCD of 198, 447, 62, 322?

You can find a detailed procedure to find GCD of 198, 447, 62, 322 on our page.

3. How to find GCD of 198, 447, 62, 322 on a calculator?

You can find the GCD of 198, 447, 62, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.