GCD of 807, 858, 231, 322 Calculator

Given Input numbers are 807, 858, 231, 322

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 807, 858, 231, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 858, 231, 322 is 1.

Therefore, GCD of numbers 807, 858, 231, 322 is 1

Given Input Data is 807, 858, 231, 322

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 322 is 2 x 7 x 23

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(807, 858) = 230802

GCD(807, 858) = ( 807 x 858 ) / 230802

GCD(807, 858) = 692406 / 230802

GCD(807, 858) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 322

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

LCM(3, 322) = 966

GCD(3, 322) = ( 3 x 322 ) / 966

GCD(3, 322) = 966 / 966

GCD(3, 322) = 1

GCD of 807, 858, 231, 322 is 1

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1. What is the GCD of 807, 858, 231, 322?

GCD of 807, 858, 231, 322 is 1

2. Where do I get the detailed procedure to find GCD of 807, 858, 231, 322?

You can find a detailed procedure to find GCD of 807, 858, 231, 322 on our page.

3. How to find GCD of 807, 858, 231, 322 on a calculator?

You can find the GCD of 807, 858, 231, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.