GCD of 309, 822, 766, 199 Calculator

Given Input numbers are 309, 822, 766, 199

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 309, 822, 766, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 822, 766, 199 is 1.

Therefore, GCD of numbers 309, 822, 766, 199 is 1

Given Input Data is 309, 822, 766, 199

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 766 is 2 x 383

Prime Factorization of 199 is 199

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(309, 822) = 84666

GCD(309, 822) = ( 309 x 822 ) / 84666

GCD(309, 822) = 253998 / 84666

GCD(309, 822) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 766

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

LCM(3, 766) = 2298

GCD(3, 766) = ( 3 x 766 ) / 2298

GCD(3, 766) = 2298 / 2298

GCD(3, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 309, 822, 766, 199 is 1

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• GCD of 317, 450, 147, 830
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1. What is the GCD of 309, 822, 766, 199?

GCD of 309, 822, 766, 199 is 1

2. Where do I get the detailed procedure to find GCD of 309, 822, 766, 199?

You can find a detailed procedure to find GCD of 309, 822, 766, 199 on our page.

3. How to find GCD of 309, 822, 766, 199 on a calculator?

You can find the GCD of 309, 822, 766, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.