GCD of 195, 442, 98, 822 Calculator

Given Input numbers are 195, 442, 98, 822

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 195, 442, 98, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 442, 98, 822 is 1.

Therefore, GCD of numbers 195, 442, 98, 822 is 1

Given Input Data is 195, 442, 98, 822

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 822 is 2 x 3 x 137

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(195, 442) = 6630

GCD(195, 442) = ( 195 x 442 ) / 6630

GCD(195, 442) = 86190 / 6630

GCD(195, 442) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 98

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

LCM(13, 98) = 1274

GCD(13, 98) = ( 13 x 98 ) / 1274

GCD(13, 98) = 1274 / 1274

GCD(13, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 195, 442, 98, 822 is 1

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1. What is the GCD of 195, 442, 98, 822?

GCD of 195, 442, 98, 822 is 1

2. Where do I get the detailed procedure to find GCD of 195, 442, 98, 822?

You can find a detailed procedure to find GCD of 195, 442, 98, 822 on our page.

3. How to find GCD of 195, 442, 98, 822 on a calculator?

You can find the GCD of 195, 442, 98, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.