GCD of 223, 831, 86, 342 Calculator

Given Input numbers are 223, 831, 86, 342

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 831

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

1, 3, 277, 831

Divisors of 86

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

1, 2, 43, 86

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 223, 831, 86, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 831, 86, 342 is 1.

Therefore, GCD of numbers 223, 831, 86, 342 is 1

Given Input Data is 223, 831, 86, 342

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

Prime Factorization of 223 is 223

Prime Factorization of 831 is 3 x 277

Prime Factorization of 86 is 2 x 43

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(223, 831) = 185313

GCD(223, 831) = ( 223 x 831 ) / 185313

GCD(223, 831) = 185313 / 185313

GCD(223, 831) = 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 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 223, 831, 86, 342 is 1

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1. What is the GCD of 223, 831, 86, 342?

GCD of 223, 831, 86, 342 is 1

2. Where do I get the detailed procedure to find GCD of 223, 831, 86, 342?

You can find a detailed procedure to find GCD of 223, 831, 86, 342 on our page.

3. How to find GCD of 223, 831, 86, 342 on a calculator?

You can find the GCD of 223, 831, 86, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.