GCD of 278, 144, 822 Calculator

Given Input numbers are 278, 144, 822

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 278, 144, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 144, 822 is 2.

Therefore, GCD of numbers 278, 144, 822 is 2

Given Input Data is 278, 144, 822

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 822 is 2 x 3 x 137

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(278, 144) = 20016

GCD(278, 144) = ( 278 x 144 ) / 20016

GCD(278, 144) = 40032 / 20016

GCD(278, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 278, 144, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 938, 231
• GCD of 365, 457, 254
• GCD of 621, 538, 990
• GCD of 295, 805, 448
• GCD of 143, 480, 134

1. What is the GCD of 278, 144, 822?

GCD of 278, 144, 822 is 2

2. Where do I get the detailed procedure to find GCD of 278, 144, 822?

You can find a detailed procedure to find GCD of 278, 144, 822 on our page.

3. How to find GCD of 278, 144, 822 on a calculator?

You can find the GCD of 278, 144, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.