GCD of 317, 891, 77, 822 Calculator

Given Input numbers are 317, 891, 77, 822

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 317, 891, 77, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 891, 77, 822 is 1.

Therefore, GCD of numbers 317, 891, 77, 822 is 1

Given Input Data is 317, 891, 77, 822

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

Prime Factorization of 317 is 317

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 77 is 7 x 11

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(317, 891) = 282447

GCD(317, 891) = ( 317 x 891 ) / 282447

GCD(317, 891) = 282447 / 282447

GCD(317, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 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 317, 891, 77, 822 is 1

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1. What is the GCD of 317, 891, 77, 822?

GCD of 317, 891, 77, 822 is 1

2. Where do I get the detailed procedure to find GCD of 317, 891, 77, 822?

You can find a detailed procedure to find GCD of 317, 891, 77, 822 on our page.

3. How to find GCD of 317, 891, 77, 822 on a calculator?

You can find the GCD of 317, 891, 77, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.