GCD of 226, 164, 524, 914 Calculator

Given Input numbers are 226, 164, 524, 914

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 226, 164, 524, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 164, 524, 914 is 2.

Therefore, GCD of numbers 226, 164, 524, 914 is 2

Given Input Data is 226, 164, 524, 914

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 914 is 2 x 457

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, 164) = 18532

GCD(226, 164) = ( 226 x 164 ) / 18532

GCD(226, 164) = 37064 / 18532

GCD(226, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 226, 164, 524, 914 is 2

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1. What is the GCD of 226, 164, 524, 914?

GCD of 226, 164, 524, 914 is 2

2. Where do I get the detailed procedure to find GCD of 226, 164, 524, 914?

You can find a detailed procedure to find GCD of 226, 164, 524, 914 on our page.

3. How to find GCD of 226, 164, 524, 914 on a calculator?

You can find the GCD of 226, 164, 524, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.