GCD of 831, 229, 409, 242 Calculator

Given Input numbers are 831, 229, 409, 242

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

Divisors of 831

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

1, 3, 277, 831

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 831, 229, 409, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 229, 409, 242 is 1.

Therefore, GCD of numbers 831, 229, 409, 242 is 1

Given Input Data is 831, 229, 409, 242

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 229 is 229

Prime Factorization of 409 is 409

Prime Factorization of 242 is 2 x 11 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(831, 229) = 190299

GCD(831, 229) = ( 831 x 229 ) / 190299

GCD(831, 229) = 190299 / 190299

GCD(831, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 831, 229, 409, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 118, 918, 408
• GCD of 228, 821, 282, 148
• GCD of 862, 924, 685, 933
• GCD of 620, 483, 702, 909
• GCD of 186, 807, 471, 232

1. What is the GCD of 831, 229, 409, 242?

GCD of 831, 229, 409, 242 is 1

2. Where do I get the detailed procedure to find GCD of 831, 229, 409, 242?

You can find a detailed procedure to find GCD of 831, 229, 409, 242 on our page.

3. How to find GCD of 831, 229, 409, 242 on a calculator?

You can find the GCD of 831, 229, 409, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.