GCD of 319, 224, 854 Calculator

Given Input numbers are 319, 224, 854

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 319, 224, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 224, 854 is 1.

Therefore, GCD of numbers 319, 224, 854 is 1

Given Input Data is 319, 224, 854

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

Prime Factorization of 319 is 11 x 29

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

Prime Factorization of 854 is 2 x 7 x 61

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(319, 224) = 71456

GCD(319, 224) = ( 319 x 224 ) / 71456

GCD(319, 224) = 71456 / 71456

GCD(319, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 319, 224, 854 is 1

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1. What is the GCD of 319, 224, 854?

GCD of 319, 224, 854 is 1

2. Where do I get the detailed procedure to find GCD of 319, 224, 854?

You can find a detailed procedure to find GCD of 319, 224, 854 on our page.

3. How to find GCD of 319, 224, 854 on a calculator?

You can find the GCD of 319, 224, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.