GCD of 466, 984, 720 Calculator

Given Input numbers are 466, 984, 720

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 466, 984, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 984, 720 is 2.

Therefore, GCD of numbers 466, 984, 720 is 2

Given Input Data is 466, 984, 720

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(466, 984) = 229272

GCD(466, 984) = ( 466 x 984 ) / 229272

GCD(466, 984) = 458544 / 229272

GCD(466, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 466, 984, 720 is 2

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1. What is the GCD of 466, 984, 720?

GCD of 466, 984, 720 is 2

2. Where do I get the detailed procedure to find GCD of 466, 984, 720?

You can find a detailed procedure to find GCD of 466, 984, 720 on our page.

3. How to find GCD of 466, 984, 720 on a calculator?

You can find the GCD of 466, 984, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.