GCD of 831, 421, 224, 687 Calculator

Given Input numbers are 831, 421, 224, 687

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 831, 421, 224, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 421, 224, 687 is 1.

Therefore, GCD of numbers 831, 421, 224, 687 is 1

Given Input Data is 831, 421, 224, 687

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 421 is 421

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 687 is 3 x 229

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, 421) = 349851

GCD(831, 421) = ( 831 x 421 ) / 349851

GCD(831, 421) = 349851 / 349851

GCD(831, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 831, 421, 224, 687 is 1

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1. What is the GCD of 831, 421, 224, 687?

GCD of 831, 421, 224, 687 is 1

2. Where do I get the detailed procedure to find GCD of 831, 421, 224, 687?

You can find a detailed procedure to find GCD of 831, 421, 224, 687 on our page.

3. How to find GCD of 831, 421, 224, 687 on a calculator?

You can find the GCD of 831, 421, 224, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.