GCD of 452, 904, 918 Calculator

Given Input numbers are 452, 904, 918

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 452, 904, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 904, 918 is 2.

Therefore, GCD of numbers 452, 904, 918 is 2

Given Input Data is 452, 904, 918

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(452, 904) = 904

GCD(452, 904) = ( 452 x 904 ) / 904

GCD(452, 904) = 408608 / 904

GCD(452, 904) = 452

Step2:

Here we consider the GCD from the above i.e. 452 as first number and the next as 918

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

LCM(452, 918) = 207468

GCD(452, 918) = ( 452 x 918 ) / 207468

GCD(452, 918) = 414936 / 207468

GCD(452, 918) = 2

GCD of 452, 904, 918 is 2

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1. What is the GCD of 452, 904, 918?

GCD of 452, 904, 918 is 2

2. Where do I get the detailed procedure to find GCD of 452, 904, 918?

You can find a detailed procedure to find GCD of 452, 904, 918 on our page.

3. How to find GCD of 452, 904, 918 on a calculator?

You can find the GCD of 452, 904, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.