GCD of 270, 910, 874, 326 Calculator

Given Input numbers are 270, 910, 874, 326

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 270, 910, 874, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 910, 874, 326 is 2.

Therefore, GCD of numbers 270, 910, 874, 326 is 2

Given Input Data is 270, 910, 874, 326

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 326 is 2 x 163

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(270, 910) = 24570

GCD(270, 910) = ( 270 x 910 ) / 24570

GCD(270, 910) = 245700 / 24570

GCD(270, 910) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 874

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

LCM(10, 874) = 4370

GCD(10, 874) = ( 10 x 874 ) / 4370

GCD(10, 874) = 8740 / 4370

GCD(10, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 270, 910, 874, 326 is 2

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1. What is the GCD of 270, 910, 874, 326?

GCD of 270, 910, 874, 326 is 2

2. Where do I get the detailed procedure to find GCD of 270, 910, 874, 326?

You can find a detailed procedure to find GCD of 270, 910, 874, 326 on our page.

3. How to find GCD of 270, 910, 874, 326 on a calculator?

You can find the GCD of 270, 910, 874, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.