GCD of 912, 650, 458 Calculator

Given Input numbers are 912, 650, 458

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 912, 650, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 650, 458 is 2.

Therefore, GCD of numbers 912, 650, 458 is 2

Given Input Data is 912, 650, 458

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 458 is 2 x 229

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(912, 650) = 296400

GCD(912, 650) = ( 912 x 650 ) / 296400

GCD(912, 650) = 592800 / 296400

GCD(912, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 912, 650, 458 is 2

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1. What is the GCD of 912, 650, 458?

GCD of 912, 650, 458 is 2

2. Where do I get the detailed procedure to find GCD of 912, 650, 458?

You can find a detailed procedure to find GCD of 912, 650, 458 on our page.

3. How to find GCD of 912, 650, 458 on a calculator?

You can find the GCD of 912, 650, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.