GCD of 226, 316, 792, 270 Calculator

Given Input numbers are 226, 316, 792, 270

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

Greatest Common Divisior

We found the divisors of 226, 316, 792, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 316, 792, 270 is 2.

Therefore, GCD of numbers 226, 316, 792, 270 is 2

Given Input Data is 226, 316, 792, 270

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

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(226, 316) = 35708

GCD(226, 316) = ( 226 x 316 ) / 35708

GCD(226, 316) = 71416 / 35708

GCD(226, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 226, 316, 792, 270 is 2

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1. What is the GCD of 226, 316, 792, 270?

GCD of 226, 316, 792, 270 is 2

2. Where do I get the detailed procedure to find GCD of 226, 316, 792, 270?

You can find a detailed procedure to find GCD of 226, 316, 792, 270 on our page.

3. How to find GCD of 226, 316, 792, 270 on a calculator?

You can find the GCD of 226, 316, 792, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.