GCD of 704, 227, 86, 831 Calculator

Given Input numbers are 704, 227, 86, 831

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 704, 227, 86, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 227, 86, 831 is 1.

Therefore, GCD of numbers 704, 227, 86, 831 is 1

Given Input Data is 704, 227, 86, 831

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 227 is 227

Prime Factorization of 86 is 2 x 43

Prime Factorization of 831 is 3 x 277

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(704, 227) = 159808

GCD(704, 227) = ( 704 x 227 ) / 159808

GCD(704, 227) = 159808 / 159808

GCD(704, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 704, 227, 86, 831 is 1

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1. What is the GCD of 704, 227, 86, 831?

GCD of 704, 227, 86, 831 is 1

2. Where do I get the detailed procedure to find GCD of 704, 227, 86, 831?

You can find a detailed procedure to find GCD of 704, 227, 86, 831 on our page.

3. How to find GCD of 704, 227, 86, 831 on a calculator?

You can find the GCD of 704, 227, 86, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.