GCD of 224, 861, 684 Calculator

Given Input numbers are 224, 861, 684

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

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 224, 861, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 861, 684 is 1.

Therefore, GCD of numbers 224, 861, 684 is 1

Given Input Data is 224, 861, 684

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

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 684 is 2 x 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(224, 861) = 27552

GCD(224, 861) = ( 224 x 861 ) / 27552

GCD(224, 861) = 192864 / 27552

GCD(224, 861) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 684

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

LCM(7, 684) = 4788

GCD(7, 684) = ( 7 x 684 ) / 4788

GCD(7, 684) = 4788 / 4788

GCD(7, 684) = 1

GCD of 224, 861, 684 is 1

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1. What is the GCD of 224, 861, 684?

GCD of 224, 861, 684 is 1

2. Where do I get the detailed procedure to find GCD of 224, 861, 684?

You can find a detailed procedure to find GCD of 224, 861, 684 on our page.

3. How to find GCD of 224, 861, 684 on a calculator?

You can find the GCD of 224, 861, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.