GCD of 195, 822, 902, 283 Calculator

Given Input numbers are 195, 822, 902, 283

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 822

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

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 195, 822, 902, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 822, 902, 283 is 1.

Therefore, GCD of numbers 195, 822, 902, 283 is 1

Given Input Data is 195, 822, 902, 283

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 822 is 2 x 3 x 137

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 283 is 283

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, 822) = 53430

GCD(195, 822) = ( 195 x 822 ) / 53430

GCD(195, 822) = 160290 / 53430

GCD(195, 822) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 902

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

LCM(3, 902) = 2706

GCD(3, 902) = ( 3 x 902 ) / 2706

GCD(3, 902) = 2706 / 2706

GCD(3, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

GCD of 195, 822, 902, 283 is 1

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1. What is the GCD of 195, 822, 902, 283?

GCD of 195, 822, 902, 283 is 1

2. Where do I get the detailed procedure to find GCD of 195, 822, 902, 283?

You can find a detailed procedure to find GCD of 195, 822, 902, 283 on our page.

3. How to find GCD of 195, 822, 902, 283 on a calculator?

You can find the GCD of 195, 822, 902, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.