GCD of 195, 822, 711, 198 Calculator

Given Input numbers are 195, 822, 711, 198

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

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

Greatest Common Divisior

We found the divisors of 195, 822, 711, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 822, 711, 198 is 3.

Therefore, GCD of numbers 195, 822, 711, 198 is 3

Given Input Data is 195, 822, 711, 198

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 711 is 3 x 3 x 79

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

GCD of 195, 822, 711, 198 is 3

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1. What is the GCD of 195, 822, 711, 198?

GCD of 195, 822, 711, 198 is 3

2. Where do I get the detailed procedure to find GCD of 195, 822, 711, 198?

You can find a detailed procedure to find GCD of 195, 822, 711, 198 on our page.

3. How to find GCD of 195, 822, 711, 198 on a calculator?

You can find the GCD of 195, 822, 711, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.