GCD of 576, 164, 914 Calculator

Given Input numbers are 576, 164, 914

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 164

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

1, 2, 4, 41, 82, 164

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 576, 164, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 164, 914 is 2.

Therefore, GCD of numbers 576, 164, 914 is 2

Given Input Data is 576, 164, 914

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 164 is 2 x 2 x 41

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(576, 164) = 23616

GCD(576, 164) = ( 576 x 164 ) / 23616

GCD(576, 164) = 94464 / 23616

GCD(576, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 576, 164, 914 is 2

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1. What is the GCD of 576, 164, 914?

GCD of 576, 164, 914 is 2

2. Where do I get the detailed procedure to find GCD of 576, 164, 914?

You can find a detailed procedure to find GCD of 576, 164, 914 on our page.

3. How to find GCD of 576, 164, 914 on a calculator?

You can find the GCD of 576, 164, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.