GCD of 272, 646, 480 Calculator

Given Input numbers are 272, 646, 480

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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

Greatest Common Divisior

We found the divisors of 272, 646, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 646, 480 is 2.

Therefore, GCD of numbers 272, 646, 480 is 2

Given Input Data is 272, 646, 480

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 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(272, 646) = 5168

GCD(272, 646) = ( 272 x 646 ) / 5168

GCD(272, 646) = 175712 / 5168

GCD(272, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 480

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

LCM(34, 480) = 8160

GCD(34, 480) = ( 34 x 480 ) / 8160

GCD(34, 480) = 16320 / 8160

GCD(34, 480) = 2

GCD of 272, 646, 480 is 2

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1. What is the GCD of 272, 646, 480?

GCD of 272, 646, 480 is 2

2. Where do I get the detailed procedure to find GCD of 272, 646, 480?

You can find a detailed procedure to find GCD of 272, 646, 480 on our page.

3. How to find GCD of 272, 646, 480 on a calculator?

You can find the GCD of 272, 646, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.