GCD of 854, 422, 319 Calculator

Given Input numbers are 854, 422, 319

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

Divisors of 854

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 319

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

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 854, 422, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 422, 319 is 1.

Therefore, GCD of numbers 854, 422, 319 is 1

Given Input Data is 854, 422, 319

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 422 is 2 x 211

Prime Factorization of 319 is 11 x 29

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(854, 422) = 180194

GCD(854, 422) = ( 854 x 422 ) / 180194

GCD(854, 422) = 360388 / 180194

GCD(854, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 854, 422, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 377, 159
• GCD of 847, 817, 581
• GCD of 581, 662, 161
• GCD of 171, 842, 721
• GCD of 120, 710, 626

1. What is the GCD of 854, 422, 319?

GCD of 854, 422, 319 is 1

2. Where do I get the detailed procedure to find GCD of 854, 422, 319?

You can find a detailed procedure to find GCD of 854, 422, 319 on our page.

3. How to find GCD of 854, 422, 319 on a calculator?

You can find the GCD of 854, 422, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.