GCD of 322, 834, 274, 990 Calculator

Given Input numbers are 322, 834, 274, 990

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 322, 834, 274, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 834, 274, 990 is 2.

Therefore, GCD of numbers 322, 834, 274, 990 is 2

Given Input Data is 322, 834, 274, 990

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 834 is 2 x 3 x 139

Prime Factorization of 274 is 2 x 137

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 834) = 134274

GCD(322, 834) = ( 322 x 834 ) / 134274

GCD(322, 834) = 268548 / 134274

GCD(322, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 322, 834, 274, 990 is 2

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1. What is the GCD of 322, 834, 274, 990?

GCD of 322, 834, 274, 990 is 2

2. Where do I get the detailed procedure to find GCD of 322, 834, 274, 990?

You can find a detailed procedure to find GCD of 322, 834, 274, 990 on our page.

3. How to find GCD of 322, 834, 274, 990 on a calculator?

You can find the GCD of 322, 834, 274, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.