GCD of 468, 480, 664 Calculator

Given Input numbers are 468, 480, 664

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 468, 480, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 480, 664 is 4.

Therefore, GCD of numbers 468, 480, 664 is 4

Given Input Data is 468, 480, 664

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(468, 480) = 18720

GCD(468, 480) = ( 468 x 480 ) / 18720

GCD(468, 480) = 224640 / 18720

GCD(468, 480) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 664

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

LCM(12, 664) = 1992

GCD(12, 664) = ( 12 x 664 ) / 1992

GCD(12, 664) = 7968 / 1992

GCD(12, 664) = 4

GCD of 468, 480, 664 is 4

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1. What is the GCD of 468, 480, 664?

GCD of 468, 480, 664 is 4

2. Where do I get the detailed procedure to find GCD of 468, 480, 664?

You can find a detailed procedure to find GCD of 468, 480, 664 on our page.

3. How to find GCD of 468, 480, 664 on a calculator?

You can find the GCD of 468, 480, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.