GCD of 22, 128, 538, 822 Calculator

Given Input numbers are 22, 128, 538, 822

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 22, 128, 538, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 128, 538, 822 is 2.

Therefore, GCD of numbers 22, 128, 538, 822 is 2

Given Input Data is 22, 128, 538, 822

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 538 is 2 x 269

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(22, 128) = 1408

GCD(22, 128) = ( 22 x 128 ) / 1408

GCD(22, 128) = 2816 / 1408

GCD(22, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

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 22, 128, 538, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 980, 454, 309
• GCD of 96, 152, 533, 649
• GCD of 12, 756, 315, 229
• GCD of 24, 397, 126, 863
• GCD of 87, 309, 983, 672

1. What is the GCD of 22, 128, 538, 822?

GCD of 22, 128, 538, 822 is 2

2. Where do I get the detailed procedure to find GCD of 22, 128, 538, 822?

You can find a detailed procedure to find GCD of 22, 128, 538, 822 on our page.

3. How to find GCD of 22, 128, 538, 822 on a calculator?

You can find the GCD of 22, 128, 538, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.