GCD of 261, 283, 822, 308 Calculator

Given Input numbers are 261, 283, 822, 308

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 283

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

1, 283

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 261, 283, 822, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 283, 822, 308 is 1.

Therefore, GCD of numbers 261, 283, 822, 308 is 1

Given Input Data is 261, 283, 822, 308

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 283 is 283

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(261, 283) = 73863

GCD(261, 283) = ( 261 x 283 ) / 73863

GCD(261, 283) = 73863 / 73863

GCD(261, 283) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 261, 283, 822, 308 is 1

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1. What is the GCD of 261, 283, 822, 308?

GCD of 261, 283, 822, 308 is 1

2. Where do I get the detailed procedure to find GCD of 261, 283, 822, 308?

You can find a detailed procedure to find GCD of 261, 283, 822, 308 on our page.

3. How to find GCD of 261, 283, 822, 308 on a calculator?

You can find the GCD of 261, 283, 822, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.