GCD of 322, 854, 40, 288 Calculator

Given Input numbers are 322, 854, 40, 288

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 322, 854, 40, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 854, 40, 288 is 2.

Therefore, GCD of numbers 322, 854, 40, 288 is 2

Given Input Data is 322, 854, 40, 288

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(322, 854) = 19642

GCD(322, 854) = ( 322 x 854 ) / 19642

GCD(322, 854) = 274988 / 19642

GCD(322, 854) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 40

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

LCM(14, 40) = 280

GCD(14, 40) = ( 14 x 40 ) / 280

GCD(14, 40) = 560 / 280

GCD(14, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 322, 854, 40, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 218, 94, 477
• GCD of 647, 199, 53, 729
• GCD of 601, 421, 84, 765
• GCD of 756, 360, 43, 578
• GCD of 286, 339, 18, 491

1. What is the GCD of 322, 854, 40, 288?

GCD of 322, 854, 40, 288 is 2

2. Where do I get the detailed procedure to find GCD of 322, 854, 40, 288?

You can find a detailed procedure to find GCD of 322, 854, 40, 288 on our page.

3. How to find GCD of 322, 854, 40, 288 on a calculator?

You can find the GCD of 322, 854, 40, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.