GCD of 334, 822, 18, 122 Calculator

Given Input numbers are 334, 822, 18, 122

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 822

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

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 334, 822, 18, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 822, 18, 122 is 2.

Therefore, GCD of numbers 334, 822, 18, 122 is 2

Given Input Data is 334, 822, 18, 122

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 122 is 2 x 61

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(334, 822) = 137274

GCD(334, 822) = ( 334 x 822 ) / 137274

GCD(334, 822) = 274548 / 137274

GCD(334, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 334, 822, 18, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 526, 65, 551
• GCD of 703, 109, 66, 555
• GCD of 855, 525, 50, 865
• GCD of 993, 293, 29, 259
• GCD of 756, 464, 90, 742

1. What is the GCD of 334, 822, 18, 122?

GCD of 334, 822, 18, 122 is 2

2. Where do I get the detailed procedure to find GCD of 334, 822, 18, 122?

You can find a detailed procedure to find GCD of 334, 822, 18, 122 on our page.

3. How to find GCD of 334, 822, 18, 122 on a calculator?

You can find the GCD of 334, 822, 18, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.