GCD of 831, 831, 273, 221 Calculator

Given Input numbers are 831, 831, 273, 221

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 831

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

1, 3, 277, 831

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 831, 831, 273, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 831, 273, 221 is 1.

Therefore, GCD of numbers 831, 831, 273, 221 is 1

Given Input Data is 831, 831, 273, 221

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 831 is 3 x 277

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 221 is 13 x 17

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, 831) = 831

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

GCD(831, 831) = 690561 / 831

GCD(831, 831) = 831

Step2:

Here we consider the GCD from the above i.e. 831 as first number and the next as 273

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

LCM(831, 273) = 75621

GCD(831, 273) = ( 831 x 273 ) / 75621

GCD(831, 273) = 226863 / 75621

GCD(831, 273) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 221

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

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

GCD(3, 221) = 663 / 663

GCD(3, 221) = 1

GCD of 831, 831, 273, 221 is 1

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1. What is the GCD of 831, 831, 273, 221?

GCD of 831, 831, 273, 221 is 1

2. Where do I get the detailed procedure to find GCD of 831, 831, 273, 221?

You can find a detailed procedure to find GCD of 831, 831, 273, 221 on our page.

3. How to find GCD of 831, 831, 273, 221 on a calculator?

You can find the GCD of 831, 831, 273, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.