GCD of 536, 254, 812, 226 Calculator

Given Input numbers are 536, 254, 812, 226

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 536, 254, 812, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 254, 812, 226 is 2.

Therefore, GCD of numbers 536, 254, 812, 226 is 2

Given Input Data is 536, 254, 812, 226

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 254 is 2 x 127

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 226 is 2 x 113

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(536, 254) = 68072

GCD(536, 254) = ( 536 x 254 ) / 68072

GCD(536, 254) = 136144 / 68072

GCD(536, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 536, 254, 812, 226 is 2

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1. What is the GCD of 536, 254, 812, 226?

GCD of 536, 254, 812, 226 is 2

2. Where do I get the detailed procedure to find GCD of 536, 254, 812, 226?

You can find a detailed procedure to find GCD of 536, 254, 812, 226 on our page.

3. How to find GCD of 536, 254, 812, 226 on a calculator?

You can find the GCD of 536, 254, 812, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.